390999611268 has 192 divisors, whose sum is σ = 1184185336320. Its totient is φ = 109252675584.

The previous prime is 390999611213. The next prime is 390999611269. The reversal of 390999611268 is 862116999093.

390999611268 is a `hidden beast` number, since 3 + 9 + 0 + 9 + 9 + 9 + 611 + 2 + 6 + 8 = 666.

It is a super-2 number, since 2×390999611268² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (390999611269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12525696 + ... + 12556872.

It is an arithmetic number, because the mean of its divisors is an integer number (6167631960).

Almost surely, 2^390999611268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390999611268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592092668160).

390999611268 is an abundant number, since it is smaller than the sum of its proper divisors (793185725052).

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

390999611268 is a wasteful number, since it uses less digits than its factorization.

390999611268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31563 (or 31555 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 390999611268 in words is "three hundred ninety billion, nine hundred ninety-nine million, six hundred eleven thousand, two hundred sixty-eight".