111997976484240 has 1920 divisors, whose sum is σ = 492063755904000. Its totient is φ = 22916312432640.

The previous prime is 111997976484221. The next prime is 111997976484253. The reversal of 111997976484240 is 42484679799111.

It is a happy number.

111997976484240 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 9 + 79 + 76 + 484 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43800537042 + ... + 43800539598.

It is an arithmetic number, because the mean of its divisors is an integer number (256283206200).

Almost surely, 2^{111997976484240} is an apocalyptic number.

111997976484240 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 111997976484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246031877952000).

111997976484240 is an abundant number, since it is smaller than the sum of its proper divisors (380065779419760).

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

111997976484240 is a wasteful number, since it uses less digits than its factorization.

111997976484240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 111997976484240 in words is "one hundred eleven trillion, nine hundred ninety-seven billion, nine hundred seventy-six million, four hundred eighty-four thousand, two hundred forty".