111451901400 has 864 divisors, whose sum is σ = 478261733040. Its totient is φ = 23967498240.

The previous prime is 111451901381. The next prime is 111451901413. The reversal of 111451901400 is 4109154111.

111451901400 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 519 + 0 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40482424 + ... + 40485176.

Almost surely, 2^111451901400 is an apocalyptic number.

111451901400 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 111451901400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239130866520).

111451901400 is an abundant number, since it is smaller than the sum of its proper divisors (366809831640).

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

111451901400 is a wasteful number, since it uses less digits than its factorization.

111451901400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 111451901400 in words is "one hundred eleven billion, four hundred fifty-one million, nine hundred one thousand, four hundred".