45765570816 has 432 divisors, whose sum is σ = 156728033280. Its totient is φ = 12568227840.

The previous prime is 45765570811. The next prime is 45765570859. The reversal of 45765570816 is 61807556754.

It is a happy number.

45765570816 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 557 + 0 + 81 + 6 = 666.

It is a super-2 number, since 2×45765570816² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45765570811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119492161 + ... + 119492543.

Almost surely, 2^45765570816 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 45765570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78364016640).

45765570816 is an abundant number, since it is smaller than the sum of its proper divisors (110962462464).

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

45765570816 is a wasteful number, since it uses less digits than its factorization.

45765570816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 45765570816 in words is "forty-five billion, seven hundred sixty-five million, five hundred seventy thousand, eight hundred sixteen".