111470279768064 has 864 divisors, whose sum is σ = 377075915994960. Its totient is φ = 31631251341312.

The previous prime is 111470279767999. The next prime is 111470279768153. The reversal of 111470279768064 is 460867972074111.

111470279768064 is a `hidden beast` number, since 1 + 1 + 1 + 470 + 27 + 9 + 7 + 6 + 80 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 111470279767992 and 111470279768010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130680280662 + ... + 130680281514.

Almost surely, 2^{111470279768064} is an apocalyptic number.

111470279768064 is a gapful number since it is divisible by the number (14) 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 111470279768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188537957997480).

111470279768064 is an abundant number, since it is smaller than the sum of its proper divisors (265605636226896).

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

111470279768064 is a wasteful number, since it uses less digits than its factorization.

111470279768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 111470279768064 in words is "one hundred eleven trillion, four hundred seventy billion, two hundred seventy-nine million, seven hundred sixty-eight thousand, sixty-four".