3046085508816 has 360 divisors, whose sum is σ = 10362484196064. Its totient is φ = 863659480320.

The previous prime is 3046085508761. The next prime is 3046085508839. The reversal of 3046085508816 is 6188055806403.

3046085508816 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 0 + 8 + 550 + 8 + 81 + 6 = 666.

It is a super-2 number, since 2×3046085508816² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24896046 + ... + 25018098.

Almost surely, 2^{3046085508816} is an apocalyptic number.

3046085508816 is a gapful number since it is divisible by the number (36) 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 3046085508816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181242098032).

3046085508816 is an abundant number, since it is smaller than the sum of its proper divisors (7316398687248).

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

3046085508816 is a wasteful number, since it uses less digits than its factorization.

3046085508816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122221 (or 122196 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 3046085508816 in words is "three trillion, forty-six billion, eighty-five million, five hundred eight thousand, eight hundred sixteen".