111028606416 has 400 divisors, whose sum is σ = 416330992000. Its totient is φ = 27740537856.

The previous prime is 111028606411. The next prime is 111028606471. The reversal of 111028606416 is 614606820111.

111028606416 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 2 + 8 + 6 + 0 + 641 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111028606411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2216010 + ... + 2265558.

It is an arithmetic number, because the mean of its divisors is an integer number (1040827480).

Almost surely, 2^111028606416 is an apocalyptic number.

111028606416 is a gapful number since it is divisible by the number (16) 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 111028606416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208165496000).

111028606416 is an abundant number, since it is smaller than the sum of its proper divisors (305302385584).

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

111028606416 is a wasteful number, since it uses less digits than its factorization.

111028606416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49608 (or 49593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 111028606416 in words is "one hundred eleven billion, twenty-eight million, six hundred six thousand, four hundred sixteen".