334546561616130 has 384 divisors, whose sum is σ = 954542165852160. Its totient is φ = 83357715392640.

The previous prime is 334546561616117. The next prime is 334546561616167. The reversal of 334546561616130 is 31616165645433.

334546561616130 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 4 + 6 + 5 + 6 + 1 + 616 + 13 + 0 = 666.

It is a super-2 number, since 2×334546561616130² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 2367378175 + ... + 2367519485.

It is an arithmetic number, because the mean of its divisors is an integer number (2485786890240).

Almost surely, 2^{334546561616130} is an apocalyptic number.

334546561616130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334546561616130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477271082926080).

334546561616130 is an abundant number, since it is smaller than the sum of its proper divisors (619995604236030).

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

334546561616130 is a wasteful number, since it uses less digits than its factorization.

334546561616130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141699 (or 141674 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 334546561616130 in words is "three hundred thirty-four trillion, five hundred forty-six billion, five hundred sixty-one million, six hundred sixteen thousand, one hundred thirty".