45572046336 has 400 divisors, whose sum is σ = 147998915856. Its totient is φ = 13902741504.

The previous prime is 45572046323. The next prime is 45572046349. The reversal of 45572046336 is 63364027554.

45572046336 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 2 + 0 + 4 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45572046323) and next prime (45572046349).

It is a super-2 number, since 2×45572046336² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45572046291 and 45572046300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26085015 + ... + 26086761.

Almost surely, 2^45572046336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45572046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73999457928).

45572046336 is an abundant number, since it is smaller than the sum of its proper divisors (102426869520).

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

45572046336 is a wasteful number, since it uses less digits than its factorization.

45572046336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 45572046336 in words is "forty-five billion, five hundred seventy-two million, forty-six thousand, three hundred thirty-six".