334752502084 has 405 divisors, whose sum is σ = 861787012401. Its totient is φ = 113308715520.

The previous prime is 334752502061. The next prime is 334752502103. The reversal of 334752502084 is 480205257433.

The square root of 334752502084 is 578578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 102112202500 + 232640299584 = 319550^2 + 482328^2 .

It is a super-2 number, since 2×334752502084² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334752502084.

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 134 ways as a sum of consecutive naturals, for example, 19691323644 + ... + 19691323660.

Almost surely, 2^334752502084 is an apocalyptic number.

334752502084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

334752502084 is the 578578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334752502084

334752502084 is an abundant number, since it is smaller than the sum of its proper divisors (527034510317).

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

334752502084 is a wasteful number, since it uses less digits than its factorization.

334752502084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 334752502084 in words is "three hundred thirty-four billion, seven hundred fifty-two million, five hundred two thousand, eighty-four".