45924801382656 has 1053 divisors, whose sum is σ = 161905448600931. Its totient is φ = 12963283006464.

The previous prime is 45924801382627. The next prime is 45924801382679. The reversal of 45924801382656 is 65628310842954.

The square root of 45924801382656 is 6776784.

It is a perfect power (a square), and thus also a powerful number.

45924801382656 is a `hidden beast` number, since 4 + 5 + 9 + 2 + 480 + 13 + 82 + 65 + 6 = 666.

It is a super-2 number, since 2×45924801382656² (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 junction number, because it is equal to n+sod(n) for n = 45924801382593 and 45924801382602.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 553310859991 + ... + 553310860073.

Almost surely, 2^{45924801382656} is an apocalyptic number.

45924801382656 is the 6776784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45924801382656

45924801382656 is an abundant number, since it is smaller than the sum of its proper divisors (115980647218275).

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

45924801382656 is an frugal number, since it uses more digits than its factorization.

45924801382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 45924801382656 in words is "forty-five trillion, nine hundred twenty-four billion, eight hundred one million, three hundred eighty-two thousand, six hundred fifty-six".