114678910080 has 1536 divisors, whose sum is σ = 518404147200. Its totient is φ = 23781703680.

The previous prime is 114678910069. The next prime is 114678910139. The reversal of 114678910080 is 80019876411.

It is a happy number.

114678910080 is a `hidden beast` number, since 1 + 1 + 467 + 8 + 9 + 100 + 80 = 666.

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 191 ways as a sum of consecutive naturals, for example, 446221312 + ... + 446221568.

It is an arithmetic number, because the mean of its divisors is an integer number (337502700).

Almost surely, 2^114678910080 is an apocalyptic number.

114678910080 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 114678910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259202073600).

114678910080 is an abundant number, since it is smaller than the sum of its proper divisors (403725237120).

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

114678910080 is a wasteful number, since it uses less digits than its factorization.

114678910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 114678910080 in words is "one hundred fourteen billion, six hundred seventy-eight million, nine hundred ten thousand, eighty".