111645413510400 has 2160 divisors, whose sum is σ = 515282031589248. Its totient is φ = 23171235840000.

The previous prime is 111645413510353. The next prime is 111645413510429. The reversal of 111645413510400 is 4015314546111.

111645413510400 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 4 + 541 + 3 + 5 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 61990789500 + ... + 61990791300.

Almost surely, 2^{111645413510400} is an apocalyptic number.

111645413510400 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 111645413510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257641015794624).

111645413510400 is an abundant number, since it is smaller than the sum of its proper divisors (403636618078848).

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

111645413510400 is a wasteful number, since it uses less digits than its factorization.

111645413510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 111645413510400 in words is "one hundred eleven trillion, six hundred forty-five billion, four hundred thirteen million, five hundred ten thousand, four hundred".