349356117456 has 60 divisors (see below), whose sum is σ = 1009251018880. Its totient is φ = 112695520320.

The previous prime is 349356117449. The next prime is 349356117521. The reversal of 349356117456 is 654711653943.

349356117456 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 561 + 1 + 74 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39125926 + ... + 39134853.

Almost surely, 2^349356117456 is an apocalyptic number.

349356117456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349356117456 is an abundant number, since it is smaller than the sum of its proper divisors (659894901424).

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

349356117456 is a wasteful number, since it uses less digits than its factorization.

349356117456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78260824 (or 78260815 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 349356117456 in words is "three hundred forty-nine billion, three hundred fifty-six million, one hundred seventeen thousand, four hundred fifty-six".