45307676736 has 315 divisors, whose sum is σ = 152343289293. Its totient is φ = 12873530880.

The previous prime is 45307676707. The next prime is 45307676783. The reversal of 45307676736 is 63767670354.

The square root of 45307676736 is 212856.

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

45307676736 is a `hidden beast` number, since 4 + 530 + 7 + 6 + 76 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 499254336 + 44808422400 = 22344^2 + 211680^2 .

It is a super-2 number, since 2×45307676736² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 250318566 + ... + 250318746.

Almost surely, 2^45307676736 is an apocalyptic number.

45307676736 is the 212856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45307676736

45307676736 is an abundant number, since it is smaller than the sum of its proper divisors (107035612557).

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

45307676736 is an frugal number, since it uses more digits than its factorization.

45307676736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 45307676736 in words is "forty-five billion, three hundred seven million, six hundred seventy-six thousand, seven hundred thirty-six".