114715117440 has 768 divisors, whose sum is σ = 519902323200. Its totient is φ = 22580674560.

The previous prime is 114715117417. The next prime is 114715117453. The reversal of 114715117440 is 44711517411.

It is a happy number.

114715117440 is a `hidden beast` number, since 1 + 1 + 4 + 71 + 511 + 74 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114715117395 and 114715117404.

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, 8420074 + ... + 8433686.

It is an arithmetic number, because the mean of its divisors is an integer number (676956150).

Almost surely, 2^114715117440 is an apocalyptic number.

114715117440 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 114715117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259951161600).

114715117440 is an abundant number, since it is smaller than the sum of its proper divisors (405187205760).

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

114715117440 is a wasteful number, since it uses less digits than its factorization.

114715117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13675 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 114715117440 in words is "one hundred fourteen billion, seven hundred fifteen million, one hundred seventeen thousand, four hundred forty".