45154010664 has 96 divisors (see below), whose sum is σ = 140256717120. Its totient is φ = 12855518208.

The previous prime is 45154010647. The next prime is 45154010677. The reversal of 45154010664 is 46601045154.

45154010664 is a `hidden beast` number, since 4 + 5 + 1 + 540 + 106 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15657 + ... + 300920.

It is an arithmetic number, because the mean of its divisors is an integer number (1461007470).

Almost surely, 2^45154010664 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 45154010664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70128358560).

45154010664 is an abundant number, since it is smaller than the sum of its proper divisors (95102706456).

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

45154010664 is a wasteful number, since it uses less digits than its factorization.

45154010664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316879 (or 316872 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45154010664 in words is "forty-five billion, one hundred fifty-four million, ten thousand, six hundred sixty-four".