1010157664356 has 45 divisors (see below), whose sum is σ = 2640798966729. Its totient is φ = 336713191056.

The previous prime is 1010157664301. The next prime is 1010157664367. The reversal of 1010157664356 is 6534667510101.

The square root of 1010157664356 is 1005066.

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

1010157664356 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 157 + 66 + 435 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 695005668900 + 315151995456 = 833670^2 + 561384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18063270 + ... + 18119106.

Almost surely, 2^{1010157664356} is an apocalyptic number.

1010157664356 is the 1005066-th square number.

It is an amenable number.

1010157664356 is an abundant number, since it is smaller than the sum of its proper divisors (1630641302373).

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

1010157664356 is an frugal number, since it uses more digits than its factorization.

1010157664356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111690 (or 55842 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1010157664356 in words is "one trillion, ten billion, one hundred fifty-seven million, six hundred sixty-four thousand, three hundred fifty-six".