22321737330057 has 18 divisors (see below), whose sum is σ = 35440113724106. Its totient is φ = 13528325653920.

The previous prime is 22321737330041. The next prime is 22321737330073. The reversal of 22321737330057 is 75003373712322.

22321737330057 is a `hidden beast` number, since 2 + 23 + 217 + 37 + 330 + 0 + 57 = 666.

It is an interprime number because it is at equal distance from previous prime (22321737330041) and next prime (22321737330073).

It can be written as a sum of positive squares in only one way, i.e., 19890270942201 + 2431466387856 = 4459851^2 + 1559316^2 .

It is not a de Polignac number, because 22321737330057 - 2⁴ = 22321737330041 is a prime.

It is a super-3 number, since 3×22321737330057³ (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22321737329994 and 22321737330021.

It is not an unprimeable number, because it can be changed into a prime (22321737330007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10248730468 + ... + 10248732645.

Almost surely, 2^{22321737330057} is an apocalyptic number.

It is an amenable number.

22321737330057 is a deficient number, since it is larger than the sum of its proper divisors (13118376394049).

22321737330057 is a wasteful number, since it uses less digits than its factorization.

22321737330057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20497463141 (or 20497463127 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 45.

The spelling of 22321737330057 in words is "twenty-two trillion, three hundred twenty-one billion, seven hundred thirty-seven million, three hundred thirty thousand, fifty-seven".