114929132640 has 384 divisors, whose sum is σ = 421422124032. Its totient is φ = 25785630720.

The previous prime is 114929132639. The next prime is 114929132671. The reversal of 114929132640 is 46231929411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 114929132592 and 114929132601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57149235 + ... + 57151245.

It is an arithmetic number, because the mean of its divisors is an integer number (1097453448).

Almost surely, 2^114929132640 is an apocalyptic number.

114929132640 is a gapful number since it is divisible by the number (10) 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 114929132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210711062016).

114929132640 is an abundant number, since it is smaller than the sum of its proper divisors (306492991392).

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

114929132640 is a wasteful number, since it uses less digits than its factorization.

114929132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 114929132640 in words is "one hundred fourteen billion, nine hundred twenty-nine million, one hundred thirty-two thousand, six hundred forty".