346451256464640 has 144 divisors (see below), whose sum is σ = 1106490441654528. Its totient is φ = 92386021367808.

The previous prime is 346451256464501. The next prime is 346451256464671. The reversal of 346451256464640 is 46464652154643.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406487574 + ... + 407338986.

Almost surely, 2^{346451256464640} is an apocalyptic number.

346451256464640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346451256464640 is an abundant number, since it is smaller than the sum of its proper divisors (760039185189888).

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

346451256464640 is a wasteful number, since it uses less digits than its factorization.

346451256464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957404 (or 957390 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 60.

The spelling of 346451256464640 in words is "three hundred forty-six trillion, four hundred fifty-one billion, two hundred fifty-six million, four hundred sixty-four thousand, six hundred forty".