309879400070016 has 768 divisors, whose sum is σ = 1077114342427200. Its totient is φ = 87443280691200.

The previous prime is 309879400070011. The next prime is 309879400070039. The reversal of 309879400070016 is 610070004978903.

It is a happy number.

309879400070016 is a `hidden beast` number, since 3 + 0 + 98 + 79 + 400 + 0 + 70 + 0 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309879400070011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4570391316 + ... + 4570459116.

Almost surely, 2^{309879400070016} is an apocalyptic number.

309879400070016 is a gapful number since it is divisible by the number (36) 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 309879400070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538557171213600).

309879400070016 is an abundant number, since it is smaller than the sum of its proper divisors (767234942357184).

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

309879400070016 is a wasteful number, since it uses less digits than its factorization.

309879400070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68172 (or 68147 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 309879400070016 in words is "three hundred nine trillion, eight hundred seventy-nine billion, four hundred million, seventy thousand, sixteen".