114063479629632 has 336 divisors, whose sum is σ = 368078047159680. Its totient is φ = 34615675441152.

The previous prime is 114063479629613. The next prime is 114063479629721. The reversal of 114063479629632 is 236926974360411.

It is a happy number.

114063479629632 is a `hidden beast` number, since 1 + 1 + 40 + 6 + 3 + 479 + 6 + 2 + 96 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114063479629632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18643093 + ... + 23993579.

Almost surely, 2^{114063479629632} is an apocalyptic number.

114063479629632 is a gapful number since it is divisible by the number (12) 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 114063479629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184039023579840).

114063479629632 is an abundant number, since it is smaller than the sum of its proper divisors (254014567530048).

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

114063479629632 is a wasteful number, since it uses less digits than its factorization.

114063479629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350607 (or 5350578 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 114063479629632 in words is "one hundred fourteen trillion, sixty-three billion, four hundred seventy-nine million, six hundred twenty-nine thousand, six hundred thirty-two".