111953368088352 has 432 divisors, whose sum is σ = 383653269103104. Its totient is φ = 30844654848000.

The previous prime is 111953368088311. The next prime is 111953368088363. The reversal of 111953368088352 is 253880863359111.

111953368088352 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 533 + 68 + 0 + 8 + 8 + 35 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 111953368088352.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122474277 + ... + 123384987.

It is an arithmetic number, because the mean of its divisors is an integer number (888086271072).

Almost surely, 2^{111953368088352} is an apocalyptic number.

111953368088352 is a gapful number since it is divisible by the number (12) 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 111953368088352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191826634551552).

111953368088352 is an abundant number, since it is smaller than the sum of its proper divisors (271699901014752).

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

111953368088352 is a wasteful number, since it uses less digits than its factorization.

111953368088352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911053 (or 911035 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 111953368088352 in words is "one hundred eleven trillion, nine hundred fifty-three billion, three hundred sixty-eight million, eighty-eight thousand, three hundred fifty-two".