114221635012632 has 384 divisors, whose sum is σ = 339744597004800. Its totient is φ = 31901954660352.

The previous prime is 114221635012627. The next prime is 114221635012643. The reversal of 114221635012632 is 236210536122411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2970402718 + ... + 2970441170.

It is an arithmetic number, because the mean of its divisors is an integer number (884751554700).

Almost surely, 2^{114221635012632} is an apocalyptic number.

114221635012632 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 114221635012632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169872298502400).

114221635012632 is an abundant number, since it is smaller than the sum of its proper divisors (225522961992168).

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

114221635012632 is a wasteful number, since it uses less digits than its factorization.

114221635012632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38895 (or 38884 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 114221635012632 in words is "one hundred fourteen trillion, two hundred twenty-one billion, six hundred thirty-five million, twelve thousand, six hundred thirty-two".