114717474668160 has 5120 divisors, whose sum is σ = 558539283456000. Its totient is φ = 21837480394752.

The previous prime is 114717474668129. The next prime is 114717474668177. The reversal of 114717474668160 is 61866474717411.

114717474668160 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 1 + 7 + 4 + 7 + 466 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 500949670926 + ... + 500949671154.

It is an arithmetic number, because the mean of its divisors is an integer number (109089703800).

Almost surely, 2^{114717474668160} is an apocalyptic number.

114717474668160 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 114717474668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279269641728000).

114717474668160 is an abundant number, since it is smaller than the sum of its proper divisors (443821808787840).

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

114717474668160 is an equidigital number, since it uses as much as digits as its factorization.

114717474668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 114717474668160 in words is "one hundred fourteen trillion, seven hundred seventeen billion, four hundred seventy-four million, six hundred sixty-eight thousand, one hundred sixty".