11357164900 has 27 divisors (see below), whose sum is σ = 24647360619. Its totient is φ = 4542439680.

The previous prime is 11357164883. The next prime is 11357164957. The reversal of 11357164900 is 946175311.

It is a happy number.

The square root of 11357164900 is 106570.

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 4644967716 + 6712197184 = 68154^2 + 81928^2 .

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 11357164900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1060372 + ... + 1071028.

Almost surely, 2^11357164900 is an apocalyptic number.

11357164900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11357164900 is the 106570-th square number.

It is an amenable number.

11357164900 is an abundant number, since it is smaller than the sum of its proper divisors (13290195719).

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

11357164900 is an frugal number, since it uses more digits than its factorization.

11357164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21328 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 11357164900 in words is "eleven billion, three hundred fifty-seven million, one hundred sixty-four thousand, nine hundred".