114757962000 has 320 divisors, whose sum is σ = 406821961728. Its totient is φ = 27599040000.

The previous prime is 114757961999. The next prime is 114757962023. The reversal of 114757962000 is 269757411.

It is a happy number.

114757962000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 8375155 + ... + 8388845.

Almost surely, 2^114757962000 is an apocalyptic number.

114757962000 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 114757962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203410980864).

114757962000 is an abundant number, since it is smaller than the sum of its proper divisors (292063999728).

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

114757962000 is a wasteful number, since it uses less digits than its factorization.

114757962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13855 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 114757962000 in words is "one hundred fourteen billion, seven hundred fifty-seven million, nine hundred sixty-two thousand".