1114167858960 has 320 divisors, whose sum is σ = 3759586871040. Its totient is φ = 271321989120.

The previous prime is 1114167858911. The next prime is 1114167859031. The reversal of 1114167858960 is 698587614111.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1114167858960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137734596 + ... + 137742684.

It is an arithmetic number, because the mean of its divisors is an integer number (11748708972).

Almost surely, 2^{1114167858960} is an apocalyptic number.

1114167858960 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 1114167858960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879793435520).

1114167858960 is an abundant number, since it is smaller than the sum of its proper divisors (2645419012080).

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

1114167858960 is a wasteful number, since it uses less digits than its factorization.

1114167858960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8586 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 1114167858960 in words is "one trillion, one hundred fourteen billion, one hundred sixty-seven million, eight hundred fifty-eight thousand, nine hundred sixty".