22633397136 has 315 divisors, whose sum is σ = 76868905131. Its totient is φ = 6434188992.

The previous prime is 22633397119. The next prime is 22633397153. The reversal of 22633397136 is 63179333622.

The square root of 22633397136 is 150444.

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

22633397136 is a `hidden beast` number, since 2 + 2 + 633 + 3 + 9 + 7 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (22633397119) and next prime (22633397153).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22633397091 and 22633397100.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 113735565 + ... + 113735763.

Almost surely, 2^22633397136 is an apocalyptic number.

22633397136 is the 150444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22633397136

22633397136 is an abundant number, since it is smaller than the sum of its proper divisors (54235507995).

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

22633397136 is an frugal number, since it uses more digits than its factorization.

22633397136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 211 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The spelling of 22633397136 in words is "twenty-two billion, six hundred thirty-three million, three hundred ninety-seven thousand, one hundred thirty-six".