114686409600 has 960 divisors, whose sum is σ = 499525171200. Its totient is φ = 25355980800.

The previous prime is 114686409589. The next prime is 114686409601. The reversal of 114686409600 is 6904686411.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114686409601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56245381 + ... + 56247419.

It is an arithmetic number, because the mean of its divisors is an integer number (520338720).

Almost surely, 2^114686409600 is an apocalyptic number.

114686409600 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 114686409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249762585600).

114686409600 is an abundant number, since it is smaller than the sum of its proper divisors (384838761600).

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

114686409600 is a wasteful number, since it uses less digits than its factorization.

114686409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 114686409600 in words is "one hundred fourteen billion, six hundred eighty-six million, four hundred nine thousand, six hundred".