111263128704 has 1152 divisors, whose sum is σ = 425968058880. Its totient is φ = 27590492160.

The previous prime is 111263128667. The next prime is 111263128729. The reversal of 111263128704 is 407821362111.

111263128704 is a `hidden beast` number, since 1 + 1 + 12 + 631 + 2 + 8 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1524152412 + ... + 1524152484.

It is an arithmetic number, because the mean of its divisors is an integer number (369763940).

Almost surely, 2^111263128704 is an apocalyptic number.

111263128704 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 111263128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212984029440).

111263128704 is an abundant number, since it is smaller than the sum of its proper divisors (314704930176).

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

111263128704 is a wasteful number, since it uses less digits than its factorization.

111263128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 111263128704 in words is "one hundred eleven billion, two hundred sixty-three million, one hundred twenty-eight thousand, seven hundred four".