390945102912 has 2016 divisors, whose sum is σ = 1605450362880. Its totient is φ = 93117911040.

The previous prime is 390945102907. The next prime is 390945102917. The reversal of 390945102912 is 219201549093.

390945102912 is a `hidden beast` number, since 39 + 0 + 94 + 510 + 2 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (390945102907) and next prime (390945102917).

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (390945102917) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5835001503 + ... + 5835001569.

Almost surely, 2^390945102912 is an apocalyptic number.

390945102912 is a gapful number since it is divisible by the number (32) 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 390945102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802725181440).

390945102912 is an abundant number, since it is smaller than the sum of its proper divisors (1214505259968).

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

390945102912 is a wasteful number, since it uses less digits than its factorization.

390945102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 390945102912 in words is "three hundred ninety billion, nine hundred forty-five million, one hundred two thousand, nine hundred twelve".