11631622500 has 135 divisors (see below), whose sum is σ = 36792106351. Its totient is φ = 3097452000.

The previous prime is 11631622489. The next prime is 11631622511. The reversal of 11631622500 is 522613611.

The square root of 11631622500 is 107850.

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

11631622500 is a `hidden beast` number, since 1 + 1 + 6 + 31 + 622 + 5 + 0 + 0 = 666.

11631622500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11631622489) and next prime (11631622511).

It can be written as a sum of positive squares in 2 ways, for example, as 911919204 + 10719703296 = 30198^2 + 103536^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16177141 + ... + 16177859.

Almost surely, 2^11631622500 is an apocalyptic number.

11631622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11631622500 is the 107850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11631622500

11631622500 is an abundant number, since it is smaller than the sum of its proper divisors (25160483851).

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

11631622500 is an frugal number, since it uses more digits than its factorization.

11631622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11631622500 in words is "eleven billion, six hundred thirty-one million, six hundred twenty-two thousand, five hundred".