157474004688 has 1280 divisors, whose sum is σ = 645078712320. Its totient is φ = 35446118400.

The previous prime is 157474004669. The next prime is 157474004689. The reversal of 157474004688 is 886400474751.

157474004688 is a `hidden beast` number, since 1 + 57 + 474 + 0 + 0 + 46 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157474004689) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 706161345 + ... + 706161567.

It is an arithmetic number, because the mean of its divisors is an integer number (503967744).

Almost surely, 2^157474004688 is an apocalyptic number.

157474004688 is a gapful number since it is divisible by the number (18) 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 157474004688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322539356160).

157474004688 is an abundant number, since it is smaller than the sum of its proper divisors (487604707632).

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

157474004688 is a wasteful number, since it uses less digits than its factorization.

157474004688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 157474004688 in words is "one hundred fifty-seven billion, four hundred seventy-four million, four thousand, six hundred eighty-eight".