111877948728 has 384 divisors, whose sum is σ = 395387166720. Its totient is φ = 27780848640.

The previous prime is 111877948717. The next prime is 111877948739. The reversal of 111877948728 is 827849778111.

111877948728 is a `hidden beast` number, since 1 + 1 + 1 + 87 + 79 + 487 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (111877948717) and next prime (111877948739).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7507701 + ... + 7522587.

It is an arithmetic number, because the mean of its divisors is an integer number (1029654080).

Almost surely, 2^111877948728 is an apocalyptic number.

111877948728 is a gapful number since it is divisible by the number (18) 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 111877948728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197693583360).

111877948728 is an abundant number, since it is smaller than the sum of its proper divisors (283509217992).

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

111877948728 is a wasteful number, since it uses less digits than its factorization.

111877948728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14987 (or 14980 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 63.

The spelling of 111877948728 in words is "one hundred eleven billion, eight hundred seventy-seven million, nine hundred forty-eight thousand, seven hundred twenty-eight".