45692470656 has 320 divisors, whose sum is σ = 157968713760. Its totient is φ = 12839731200.

The previous prime is 45692470651. The next prime is 45692470661. The reversal of 45692470656 is 65607429654.

45692470656 is a `hidden beast` number, since 4 + 569 + 2 + 4 + 70 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45692470651) and next prime (45692470661).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45692470651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4421976 + ... + 4432296.

Almost surely, 2^45692470656 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 45692470656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78984356880).

45692470656 is an abundant number, since it is smaller than the sum of its proper divisors (112276243104).

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

45692470656 is a wasteful number, since it uses less digits than its factorization.

45692470656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10394 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 45692470656 in words is "forty-five billion, six hundred ninety-two million, four hundred seventy thousand, six hundred fifty-six".