45368464176 has 450 divisors, whose sum is σ = 161291724660. Its totient is φ = 12273980544.

The previous prime is 45368464151. The next prime is 45368464177. The reversal of 45368464176 is 67146486354.

45368464176 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 8 + 464 + 176 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45368464177) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 22923955 + ... + 22925933.

Almost surely, 2^45368464176 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 45368464176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80645862330).

45368464176 is an abundant number, since it is smaller than the sum of its proper divisors (115923260484).

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

45368464176 is a wasteful number, since it uses less digits than its factorization.

45368464176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2010 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 45368464176 in words is "forty-five billion, three hundred sixty-eight million, four hundred sixty-four thousand, one hundred seventy-six".