114594600960 has 1536 divisors, whose sum is σ = 510615705600. Its totient is φ = 24078974976.

The previous prime is 114594600959. The next prime is 114594601019. The reversal of 114594600960 is 69006495411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2664990699 + ... + 2664990741.

It is an arithmetic number, because the mean of its divisors is an integer number (332432100).

Almost surely, 2^114594600960 is an apocalyptic number.

114594600960 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 114594600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255307852800).

114594600960 is an abundant number, since it is smaller than the sum of its proper divisors (396021104640).

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

114594600960 is an frugal number, since it uses more digits than its factorization.

114594600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 114594600960 in words is "one hundred fourteen billion, five hundred ninety-four million, six hundred thousand, nine hundred sixty".