344642115456 has 96 divisors (see below), whose sum is σ = 992825792400. Its totient is φ = 114755346432.

The previous prime is 344642115451. The next prime is 344642115479. The reversal of 344642115456 is 654511246443.

344642115456 is a `hidden beast` number, since 3 + 4 + 46 + 42 + 115 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344642115451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 895920 + ... + 1221456.

Almost surely, 2^344642115456 is an apocalyptic number.

344642115456 is a gapful number since it is divisible by the number (36) 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 344642115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496412896200).

344642115456 is an abundant number, since it is smaller than the sum of its proper divisors (648183676944).

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

344642115456 is a wasteful number, since it uses less digits than its factorization.

344642115456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326476 (or 326461 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 344642115456 in words is "three hundred forty-four billion, six hundred forty-two million, one hundred fifteen thousand, four hundred fifty-six".