157317002496 has 648 divisors, whose sum is σ = 508061741824. Its totient is φ = 48492380160.

The previous prime is 157317002483. The next prime is 157317002497. The reversal of 157317002496 is 694200713751.

157317002496 is a `hidden beast` number, since 1 + 573 + 1 + 70 + 0 + 2 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157317002497) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1621824720 + ... + 1621824816.

Almost surely, 2^157317002496 is an apocalyptic number.

157317002496 is a gapful number since it is divisible by the number (16) 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 157317002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254030870912).

157317002496 is an abundant number, since it is smaller than the sum of its proper divisors (350744739328).

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

157317002496 is an frugal number, since it uses more digits than its factorization.

157317002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 157317002496 in words is "one hundred fifty-seven billion, three hundred seventeen million, two thousand, four hundred ninety-six".