3146912182848 has 448 divisors, whose sum is σ = 10636593408000. Its totient is φ = 799354552320.

The previous prime is 3146912182819. The next prime is 3146912182853. The reversal of 3146912182848 is 8482812196413.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3146912182848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151494703 + ... + 151515473.

It is an arithmetic number, because the mean of its divisors is an integer number (23742396000).

Almost surely, 2^{3146912182848} is an apocalyptic number.

3146912182848 is a gapful number since it is divisible by the number (38) 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 3146912182848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318296704000).

3146912182848 is an abundant number, since it is smaller than the sum of its proper divisors (7489681225152).

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

3146912182848 is a wasteful number, since it uses less digits than its factorization.

3146912182848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21178 (or 21168 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 57.

The spelling of 3146912182848 in words is "three trillion, one hundred forty-six billion, nine hundred twelve million, one hundred eighty-two thousand, eight hundred forty-eight".