114674976000 has 864 divisors, whose sum is σ = 450047838240. Its totient is φ = 27869184000.

The previous prime is 114674975971. The next prime is 114674976023. The reversal of 114674976000 is 679476411.

It can be written as a sum of positive squares in 16 ways, for example, as 81457726464 + 33217249536 = 285408^2 + 182256^2 .

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408095860 + ... + 408096140.

Almost surely, 2^114674976000 is an apocalyptic number.

114674976000 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 114674976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225023919120).

114674976000 is an abundant number, since it is smaller than the sum of its proper divisors (335372862240).

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

114674976000 is a wasteful number, since it uses less digits than its factorization.

114674976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 114674976000 in words is "one hundred fourteen billion, six hundred seventy-four million, nine hundred seventy-six thousand".