307918449216 has 441 divisors, whose sum is σ = 1068601641939. Its totient is φ = 87736981248.

The previous prime is 307918449193. The next prime is 307918449271. The reversal of 307918449216 is 612944819703.

The square root of 307918449216 is 554904.

It is a perfect power (a square), and thus also a powerful number.

307918449216 is a `hidden beast` number, since 3 + 0 + 79 + 1 + 84 + 492 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (441).

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 62 ways as a sum of consecutive naturals, for example, 839014665 + ... + 839015031.

Almost surely, 2^307918449216 is an apocalyptic number.

307918449216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

307918449216 is the 554904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307918449216

307918449216 is an abundant number, since it is smaller than the sum of its proper divisors (760683192723).

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

307918449216 is an frugal number, since it uses more digits than its factorization.

307918449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 379 counting only the distinct ones).

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

The spelling of 307918449216 in words is "three hundred seven billion, nine hundred eighteen million, four hundred forty-nine thousand, two hundred sixteen".