3146888064000 has 176 divisors, whose sum is σ = 10467731061216. Its totient is φ = 839170048000.

The previous prime is 3146888063999. The next prime is 3146888064037. The reversal of 3146888064000 is 4608886413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3713511 + ... + 4481510.

It is an arithmetic number, because the mean of its divisors is an integer number (59475744666).

Almost surely, 2^{3146888064000} is an apocalyptic number.

3146888064000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3146888064000 is an abundant number, since it is smaller than the sum of its proper divisors (7320842997216).

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

3146888064000 is an equidigital number, since it uses as much as digits as its factorization.

3146888064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195059 (or 8195031 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 3146888064000 in words is "three trillion, one hundred forty-six billion, eight hundred eighty-eight million, sixty-four thousand".