45452365056 has 288 divisors, whose sum is σ = 154755982080. Its totient is φ = 12889718784.

The previous prime is 45452365043. The next prime is 45452365069. The reversal of 45452365056 is 65056325454.

45452365056 is a `hidden beast` number, since 4 + 545 + 2 + 3 + 6 + 50 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (45452365043) and next prime (45452365069).

It is a tau number, because it is divible by the number of its divisors (288).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6625180 + ... + 6632036.

It is an arithmetic number, because the mean of its divisors is an integer number (537347160).

Almost surely, 2^45452365056 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 45452365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77377991040).

45452365056 is an abundant number, since it is smaller than the sum of its proper divisors (109303617024).

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

45452365056 is a wasteful number, since it uses less digits than its factorization.

45452365056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 45452365056 in words is "forty-five billion, four hundred fifty-two million, three hundred sixty-five thousand, fifty-six".