157893584416 has 24 divisors (see below), whose sum is σ = 313930753164. Its totient is φ = 78165139200.

The previous prime is 157893584413. The next prime is 157893584473. The reversal of 157893584416 is 614485398751.

It can be written as a sum of positive squares in 2 ways, for example, as 157847290000 + 46294416 = 397300^2 + 6804^2 .

It is a super-2 number, since 2×157893584416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157893584413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24423375 + ... + 24429838.

Almost surely, 2^157893584416 is an apocalyptic number.

157893584416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157893584416 is a deficient number, since it is larger than the sum of its proper divisors (156037168748).

157893584416 is a wasteful number, since it uses less digits than its factorization.

157893584416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48853324 (or 48853316 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 61.

The spelling of 157893584416 in words is "one hundred fifty-seven billion, eight hundred ninety-three million, five hundred eighty-four thousand, four hundred sixteen".