157516909456 has 45 divisors (see below), whose sum is σ = 307136045811. Its totient is φ = 78259174656.

The previous prime is 157516909441. The next prime is 157516909457. The reversal of 157516909456 is 654909615751.

It is a happy number.

The square root of 157516909456 is 396884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 142041549456 + 15475360000 = 376884^2 + 124400^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157516909456.

It is not an unprimeable number, because it can be changed into a prime (157516909457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 496898610 + ... + 496898926.

Almost surely, 2^157516909456 is an apocalyptic number.

157516909456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157516909456 is the 396884-th square number.

It is an amenable number.

157516909456 is a deficient number, since it is larger than the sum of its proper divisors (149619136355).

157516909456 is an frugal number, since it uses more digits than its factorization.

157516909456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 58.

The spelling of 157516909456 in words is "one hundred fifty-seven billion, five hundred sixteen million, nine hundred nine thousand, four hundred fifty-six".