63122822136 has 72 divisors (see below), whose sum is σ = 187912146240. Its totient is φ = 19128125280.

The previous prime is 63122822123. The next prime is 63122822207.

63122822136 is a `hidden beast` number, since 631 + 2 + 2 + 8 + 2 + 2 + 13 + 6 = 666.

63122822136 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 63122822136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3614040 + ... + 3631463.

It is an arithmetic number, because the mean of its divisors is an integer number (2609890920).

Almost surely, 2^63122822136 is an apocalyptic number.

63122822136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

63122822136 is an abundant number, since it is smaller than the sum of its proper divisors (124789324104).

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

63122822136 is a wasteful number, since it uses less digits than its factorization.

63122822136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245537 (or 7245519 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 63122822136 in words is "sixty-three billion, one hundred twenty-two million, eight hundred twenty-two thousand, one hundred thirty-six".