111361941504 has 840 divisors, whose sum is σ = 390204396120. Its totient is φ = 31531991040.

The previous prime is 111361941503. The next prime is 111361941529. The reversal of 111361941504 is 405149163111.

It is a happy number.

111361941504 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 61 + 94 + 1 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111361941503) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1525506012 + ... + 1525506084.

It is an arithmetic number, because the mean of its divisors is an integer number (464529043).

Almost surely, 2^111361941504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111361941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195102198060).

111361941504 is an abundant number, since it is smaller than the sum of its proper divisors (278842454616).

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

111361941504 is an equidigital number, since it uses as much as digits as its factorization.

111361941504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 111361941504 in words is "one hundred eleven billion, three hundred sixty-one million, nine hundred forty-one thousand, five hundred four".