114129100800 has 1008 divisors, whose sum is σ = 481390470288. Its totient is φ = 25480396800.

The previous prime is 114129100739. The next prime is 114129100817. The reversal of 114129100800 is 8001921411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263577384 + ... + 263577816.

It is an arithmetic number, because the mean of its divisors is an integer number (477569911).

Almost surely, 2^114129100800 is an apocalyptic number.

114129100800 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 114129100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240695235144).

114129100800 is an abundant number, since it is smaller than the sum of its proper divisors (367261369488).

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

114129100800 is a wasteful number, since it uses less digits than its factorization.

114129100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 114129100800 in words is "one hundred fourteen billion, one hundred twenty-nine million, one hundred thousand, eight hundred".