111398400842960 has 320 divisors, whose sum is σ = 330720672522240. Its totient is φ = 33883264880640.

The previous prime is 111398400842959. The next prime is 111398400843047. The reversal of 111398400842960 is 69248004893111.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 111398400842896 and 111398400842905.

It is a congruent number.

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, 291971996 + ... + 292353284.

It is an arithmetic number, because the mean of its divisors is an integer number (1033502101632).

Almost surely, 2^{111398400842960} is an apocalyptic number.

111398400842960 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 111398400842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165360336261120).

111398400842960 is an abundant number, since it is smaller than the sum of its proper divisors (219322271679280).

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

111398400842960 is a wasteful number, since it uses less digits than its factorization.

111398400842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382466 (or 382460 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The spelling of 111398400842960 in words is "one hundred eleven trillion, three hundred ninety-eight billion, four hundred million, eight hundred forty-two thousand, nine hundred sixty".