111037981661208 has 2560 divisors, whose sum is σ = 415700398080000. Its totient is φ = 27545657610240.

The previous prime is 111037981661149. The next prime is 111037981661209. The reversal of 111037981661208 is 802166189730111.

111037981661208 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 3 + 7 + 9 + 8 + 16 + 612 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111037981661209) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 170042850610 + ... + 170042851262.

It is an arithmetic number, because the mean of its divisors is an integer number (162382968000).

Almost surely, 2^{111037981661208} is an apocalyptic number.

111037981661208 is a gapful number since it is divisible by the number (18) 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 111037981661208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207850199040000).

111037981661208 is an abundant number, since it is smaller than the sum of its proper divisors (304662416418792).

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

111037981661208 is a wasteful number, since it uses less digits than its factorization.

111037981661208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 111037981661208 in words is "one hundred eleven trillion, thirty-seven billion, nine hundred eighty-one million, six hundred sixty-one thousand, two hundred eight".