45463057536 has 128 divisors (see below), whose sum is σ = 130176023040. Its totient is φ = 13975142400.

The previous prime is 45463057513. The next prime is 45463057553. The reversal of 45463057536 is 63575036454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5991601 + ... + 5999183.

It is an arithmetic number, because the mean of its divisors is an integer number (1017000180).

Almost surely, 2^45463057536 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 45463057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65088011520).

45463057536 is an abundant number, since it is smaller than the sum of its proper divisors (84712965504).

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

45463057536 is a wasteful number, since it uses less digits than its factorization.

45463057536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 45463057536 in words is "forty-five billion, four hundred sixty-three million, fifty-seven thousand, five hundred thirty-six".