46545172248960 has 3072 divisors, whose sum is σ = 220307215564800. Its totient is φ = 9097337733120.

The previous prime is 46545172248899. The next prime is 46545172249019. The reversal of 46545172248960 is 6984227154564.

46545172248960 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 517 + 2 + 24 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×46545172248960² (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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35721543669 + ... + 35721544971.

It is an arithmetic number, because the mean of its divisors is an integer number (71714588400).

Almost surely, 2^{46545172248960} is an apocalyptic number.

46545172248960 is a gapful number since it is divisible by the number (40) 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 46545172248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110153607782400).

46545172248960 is an abundant number, since it is smaller than the sum of its proper divisors (173762043315840).

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

46545172248960 is a wasteful number, since it uses less digits than its factorization.

46545172248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 46545172248960 in words is "forty-six trillion, five hundred forty-five billion, one hundred seventy-two million, two hundred forty-eight thousand, nine hundred sixty".