111216512464 has 80 divisors (see below), whose sum is σ = 240437289600. Its totient is φ = 49526525952.

The previous prime is 111216512431. The next prime is 111216512471. The reversal of 111216512464 is 464215612111.

It is a super-2 number, since 2×111216512464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4737684 + ... + 4761100.

It is an arithmetic number, because the mean of its divisors is an integer number (3005466120).

Almost surely, 2^111216512464 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 111216512464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120218644800).

111216512464 is an abundant number, since it is smaller than the sum of its proper divisors (129220777136).

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

111216512464 is a wasteful number, since it uses less digits than its factorization.

111216512464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24380 (or 24374 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The spelling of 111216512464 in words is "one hundred eleven billion, two hundred sixteen million, five hundred twelve thousand, four hundred sixty-four".