122644262653344 has 84 divisors (see below), whose sum is σ = 362018230609266. Its totient is φ = 40881420876672.

The previous prime is 122644262653333. The next prime is 122644262653379. The reversal of 122644262653344 is 443356262446221.

122644262653344 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 4 + 4 + 2 + 62 + 6 + 533 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73143751017744 + 49500511635600 = 8552412^2 + 7035660^2 .

It is a super-2 number, since 2×122644262653344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2628668859 + ... + 2628715514.

Almost surely, 2^{122644262653344} is an apocalyptic number.

It is an amenable number.

122644262653344 is an abundant number, since it is smaller than the sum of its proper divisors (239373967955922).

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

122644262653344 is an frugal number, since it uses more digits than its factorization.

122644262653344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257384401 (or 5257384378 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 54.

The spelling of 122644262653344 in words is "one hundred twenty-two trillion, six hundred forty-four billion, two hundred sixty-two million, six hundred fifty-three thousand, three hundred forty-four".