334513038048 has 192 divisors, whose sum is σ = 1012505743872. Its totient is φ = 94724720640.

The previous prime is 334513037933. The next prime is 334513038073. The reversal of 334513038048 is 840830315433.

It is a super-2 number, since 2×334513038048² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 38476390 + ... + 38485082.

It is an arithmetic number, because the mean of its divisors is an integer number (5273467416).

Almost surely, 2^334513038048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334513038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506252871936).

334513038048 is an abundant number, since it is smaller than the sum of its proper divisors (677992705824).

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

334513038048 is a wasteful number, since it uses less digits than its factorization.

334513038048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 334513038048 in words is "three hundred thirty-four billion, five hundred thirteen million, thirty-eight thousand, forty-eight".