45971581033728 has 432 divisors, whose sum is σ = 159865846358400. Its totient is φ = 12411415019520.

The previous prime is 45971581033717. The next prime is 45971581033739. The reversal of 45971581033728 is 82733018517954.

It is a happy number.

45971581033728 is a `hidden beast` number, since 4 + 5 + 9 + 7 + 158 + 103 + 372 + 8 = 666.

45971581033728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45971581033717) and next prime (45971581033739).

It is a super-2 number, since 2×45971581033728² (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 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 47 ways as a sum of consecutive naturals, for example, 119009218 + ... + 119394878.

Almost surely, 2^{45971581033728} is an apocalyptic number.

45971581033728 is a gapful number since it is divisible by the number (48) 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 45971581033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79932923179200).

45971581033728 is an abundant number, since it is smaller than the sum of its proper divisors (113894265324672).

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

45971581033728 is a wasteful number, since it uses less digits than its factorization.

45971581033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386098 (or 386081 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 45971581033728 in words is "forty-five trillion, nine hundred seventy-one billion, five hundred eighty-one million, thirty-three thousand, seven hundred twenty-eight".