114012101632 has 352 divisors, whose sum is σ = 288707569920. Its totient is φ = 44219105280.

The previous prime is 114012101629. The next prime is 114012101699. The reversal of 114012101632 is 236101210411.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119634468 + ... + 119635420.

It is an arithmetic number, because the mean of its divisors is an integer number (820191960).

Almost surely, 2^114012101632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114012101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353784960).

114012101632 is an abundant number, since it is smaller than the sum of its proper divisors (174695468288).

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

114012101632 is a wasteful number, since it uses less digits than its factorization.

114012101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 114012101632 in words is "one hundred fourteen billion, twelve million, one hundred one thousand, six hundred thirty-two".