334534990056960 has 5120 divisors, whose sum is σ = 1566702010368000. Its totient is φ = 59929893273600.

The previous prime is 334534990056947. The next prime is 334534990057001. The reversal of 334534990056960 is 69650099435433.

It is a super-2 number, since 2×334534990056960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 334534990056891 and 334534990056900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 290143095744 + ... + 290143096896.

It is an arithmetic number, because the mean of its divisors is an integer number (305996486400).

Almost surely, 2^{334534990056960} is an apocalyptic number.

334534990056960 is a gapful number since it is divisible by the number (30) 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 334534990056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783351005184000).

334534990056960 is an abundant number, since it is smaller than the sum of its proper divisors (1232167020311040).

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

334534990056960 is a wasteful number, since it uses less digits than its factorization.

334534990056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 66.

The spelling of 334534990056960 in words is "three hundred thirty-four trillion, five hundred thirty-four billion, nine hundred ninety million, fifty-six thousand, nine hundred sixty".