309864491712 has 140 divisors (see below), whose sum is σ = 928006368520. Its totient is φ = 102223171584.

The previous prime is 309864491687. The next prime is 309864491737. The reversal of 309864491712 is 217194468903.

309864491712 is a `hidden beast` number, since 3 + 0 + 9 + 86 + 4 + 491 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (309864491687) and next prime (309864491737).

It is a super-2 number, since 2×309864491712² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194739 + ... + 810957.

It is an arithmetic number, because the mean of its divisors is an integer number (6628616918).

Almost surely, 2^309864491712 is an apocalyptic number.

309864491712 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 309864491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464003184260).

309864491712 is an abundant number, since it is smaller than the sum of its proper divisors (618141876808).

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

309864491712 is an equidigital number, since it uses as much as digits as its factorization.

309864491712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616340 (or 616321 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 309864491712 in words is "three hundred nine billion, eight hundred sixty-four million, four hundred ninety-one thousand, seven hundred twelve".