63837914112 has 528 divisors, whose sum is σ = 219986537472. Its totient is φ = 17446993920.

The previous prime is 63837914111. The next prime is 63837914137. The reversal of 63837914112 is 21141973836.

63837914112 is a `hidden beast` number, since 638 + 3 + 7 + 9 + 1 + 4 + 1 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63837914111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273982348 + ... + 273982580.

Almost surely, 2^63837914112 is an apocalyptic number.

63837914112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63837914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109993268736).

63837914112 is an abundant number, since it is smaller than the sum of its proper divisors (156148623360).

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

63837914112 is a wasteful number, since it uses less digits than its factorization.

63837914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 63837914112 in words is "sixty-three billion, eight hundred thirty-seven million, nine hundred fourteen thousand, one hundred twelve".