22648162565952 has 224 divisors, whose sum is σ = 83010581898240. Its totient is φ = 5882639592960.

The previous prime is 22648162565867. The next prime is 22648162565953. The reversal of 22648162565952 is 25956526184622.

22648162565952 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 8 + 1 + 62 + 565 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×22648162565952² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 22648162565952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22648162565953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84974578 + ... + 85240689.

Almost surely, 2^{22648162565952} is an apocalyptic number.

22648162565952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22648162565952 is an abundant number, since it is smaller than the sum of its proper divisors (60362419332288).

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

22648162565952 is a wasteful number, since it uses less digits than its factorization.

22648162565952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170215306 (or 170215290 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 22648162565952 in words is "twenty-two trillion, six hundred forty-eight billion, one hundred sixty-two million, five hundred sixty-five thousand, nine hundred fifty-two".