155730161664 has 624 divisors, whose sum is σ = 568445439744. Its totient is φ = 39901593600.

The previous prime is 155730161663. The next prime is 155730161669. The reversal of 155730161664 is 466161037551.

155730161664 is a `hidden beast` number, since 1 + 5 + 573 + 0 + 1 + 6 + 16 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (155730161663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235597494 + ... + 235598154.

It is an arithmetic number, because the mean of its divisors is an integer number (910970256).

Almost surely, 2^155730161664 is an apocalyptic number.

155730161664 is a gapful number since it is divisible by the number (14) 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 155730161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284222719872).

155730161664 is an abundant number, since it is smaller than the sum of its proper divisors (412715278080).

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

155730161664 is a wasteful number, since it uses less digits than its factorization.

155730161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 155730161664 in words is "one hundred fifty-five billion, seven hundred thirty million, one hundred sixty-one thousand, six hundred sixty-four".