45673617128832 has 2048 divisors, whose sum is σ = 186549350400000. Its totient is φ = 10636791644160.

The previous prime is 45673617128791. The next prime is 45673617128897. The reversal of 45673617128832 is 23882171637654.

It is a happy number.

45673617128832 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 3 + 617 + 1 + 2 + 8 + 8 + 3 + 2 = 666.

45673617128832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45673617128832² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 45673617128832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11280219544 + ... + 11280223592.

It is an arithmetic number, because the mean of its divisors is an integer number (91088550000).

Almost surely, 2^{45673617128832} is an apocalyptic number.

45673617128832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45673617128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93274675200000).

45673617128832 is an abundant number, since it is smaller than the sum of its proper divisors (140875733271168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45673617128832 is a wasteful number, since it uses less digits than its factorization.

45673617128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4211 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 45673617128832 in words is "forty-five trillion, six hundred seventy-three billion, six hundred seventeen million, one hundred twenty-eight thousand, eight hundred thirty-two".