1157229456516 has 135 divisors (see below), whose sum is σ = 3413485233431. Its totient is φ = 330546624912.

The previous prime is 1157229456503. The next prime is 1157229456583. The reversal of 1157229456516 is 6156549227511.

The square root of 1157229456516 is 1075746.

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

1157229456516 is a `hidden beast` number, since 1 + 1 + 5 + 72 + 2 + 9 + 4 + 56 + 516 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 316267495 + ... + 316271153.

Almost surely, 2^{1157229456516} is an apocalyptic number.

1157229456516 is the 1075746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157229456516

1157229456516 is an abundant number, since it is smaller than the sum of its proper divisors (2256255776915).

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

1157229456516 is an frugal number, since it uses more digits than its factorization.

1157229456516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 3671 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 1157229456516 in words is "one trillion, one hundred fifty-seven billion, two hundred twenty-nine million, four hundred fifty-six thousand, five hundred sixteen".