45135035264 has 64 divisors (see below), whose sum is σ = 98499527280. Its totient is φ = 20430643200.

The previous prime is 45135035243. The next prime is 45135035273. The reversal of 45135035264 is 46253053154.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272822 + ... + 405834.

Almost surely, 2^45135035264 is an apocalyptic number.

45135035264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45135035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49249763640).

45135035264 is an abundant number, since it is smaller than the sum of its proper divisors (53364492016).

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

45135035264 is a wasteful number, since it uses less digits than its factorization.

45135035264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133279 (or 133267 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 45135035264 in words is "forty-five billion, one hundred thirty-five million, thirty-five thousand, two hundred sixty-four".