45161468352 has 784 divisors, whose sum is σ = 180592000512. Its totient is φ = 10816727040.

The previous prime is 45161468327. The next prime is 45161468383. The reversal of 45161468352 is 25386416154.

45161468352 is a `hidden beast` number, since 4 + 516 + 1 + 4 + 6 + 83 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45161468298 and 45161468307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 46702173 + ... + 46703139.

Almost surely, 2^45161468352 is an apocalyptic number.

45161468352 is a gapful number since it is divisible by the number (42) 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 45161468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90296000256).

45161468352 is an abundant number, since it is smaller than the sum of its proper divisors (135430532160).

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

45161468352 is a wasteful number, since it uses less digits than its factorization.

45161468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1003 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 45161468352 in words is "forty-five billion, one hundred sixty-one million, four hundred sixty-eight thousand, three hundred fifty-two".