334912113876480 has 480 divisors, whose sum is σ = 1311027167640960. Its totient is φ = 72522320855040.

The previous prime is 334912113876467. The next prime is 334912113876517. The reversal of 334912113876480 is 84678311219433.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×334912113876480² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 16270086 + ... + 30570245.

It is an arithmetic number, because the mean of its divisors is an integer number (2731306599252).

Almost surely, 2^{334912113876480} is an apocalyptic number.

334912113876480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334912113876480 is an abundant number, since it is smaller than the sum of its proper divisors (976115053764480).

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

334912113876480 is a wasteful number, since it uses less digits than its factorization.

334912113876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46840390 (or 46840367 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 334912113876480 in words is "three hundred thirty-four trillion, nine hundred twelve billion, one hundred thirteen million, eight hundred seventy-six thousand, four hundred eighty".