113418219264 has 216 divisors, whose sum is σ = 352299220560. Its totient is φ = 32298319872.

The previous prime is 113418219263. The next prime is 113418219307. The reversal of 113418219264 is 462912814311.

It is a super-2 number, since 2×113418219264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113418219263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11774002 + ... + 11783630.

It is an arithmetic number, because the mean of its divisors is an integer number (1631014910).

Almost surely, 2^113418219264 is an apocalyptic number.

113418219264 is a gapful number since it is divisible by the number (14) 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 113418219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176149610280).

113418219264 is an abundant number, since it is smaller than the sum of its proper divisors (238881001296).

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

113418219264 is an equidigital number, since it uses as much as digits as its factorization.

113418219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9975 (or 9954 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The spelling of 113418219264 in words is "one hundred thirteen billion, four hundred eighteen million, two hundred nineteen thousand, two hundred sixty-four".