111497120317440 has 2944 divisors, whose sum is σ = 499225464138240. Its totient is φ = 23482733690880.

The previous prime is 111497120317397. The next prime is 111497120317501. The reversal of 111497120317440 is 44713021794111.

111497120317440 is a `hidden beast` number, since 1 + 1 + 1 + 497 + 1 + 20 + 31 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6558654136312 + ... + 6558654136328.

Almost surely, 2^{111497120317440} is an apocalyptic number.

111497120317440 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 111497120317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249612732069120).

111497120317440 is an abundant number, since it is smaller than the sum of its proper divisors (387728343820800).

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

111497120317440 is an frugal number, since it uses more digits than its factorization.

111497120317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 111497120317440 in words is "one hundred eleven trillion, four hundred ninety-seven billion, one hundred twenty million, three hundred seventeen thousand, four hundred forty".