344809893456 has 60 divisors (see below), whose sum is σ = 1102844344992. Its totient is φ = 98517112128.

The previous prime is 344809893403. The next prime is 344809893457. The reversal of 344809893456 is 654398908443.

344809893456 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 0 + 98 + 93 + 456 = 666.

344809893456 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 344809893393 and 344809893402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344809893457) 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, 171035646 + ... + 171037661.

Almost surely, 2^344809893456 is an apocalyptic number.

344809893456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

344809893456 is an abundant number, since it is smaller than the sum of its proper divisors (758034451536).

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

344809893456 is a wasteful number, since it uses less digits than its factorization.

344809893456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342073328 (or 342073319 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 344809893456 in words is "three hundred forty-four billion, eight hundred nine million, eight hundred ninety-three thousand, four hundred fifty-six".