45896724937728 has 1320 divisors, whose sum is σ = 161561329090720. Its totient is φ = 12536116346880.

The previous prime is 45896724937681. The next prime is 45896724937757. The reversal of 45896724937728 is 82773942769854.

45896724937728 is a `hidden beast` number, since 4 + 58 + 9 + 6 + 7 + 2 + 493 + 7 + 72 + 8 = 666.

45896724937728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (10241925120) is a multiple of the sum of its prime divisors (1029).

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 119 ways as a sum of consecutive naturals, for example, 49942028853 + ... + 49942029771.

Almost surely, 2^{45896724937728} is an apocalyptic number.

45896724937728 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 45896724937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80780664545360).

45896724937728 is an abundant number, since it is smaller than the sum of its proper divisors (115664604152992).

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

45896724937728 is an equidigital number, since it uses as much as digits as its factorization.

45896724937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1029 counting only the distinct ones).

The product of its digits is 10241925120, while the sum is 81.

The spelling of 45896724937728 in words is "forty-five trillion, eight hundred ninety-six billion, seven hundred twenty-four million, nine hundred thirty-seven thousand, seven hundred twenty-eight".