612863516736 has 315 divisors, whose sum is σ = 1853015695663. Its totient is φ = 200285879040.

The previous prime is 612863516731. The next prime is 612863516767. The reversal of 612863516736 is 637615368216.

The square root of 612863516736 is 782856.

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

612863516736 is a `hidden beast` number, since 6 + 1 + 286 + 351 + 6 + 7 + 3 + 6 = 666.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (612863516731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4678347391 + ... + 4678347521.

Almost surely, 2^612863516736 is an apocalyptic number.

612863516736 is the 782856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612863516736

612863516736 is an abundant number, since it is smaller than the sum of its proper divisors (1240152178927).

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

612863516736 is an frugal number, since it uses more digits than its factorization.

612863516736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 219 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 612863516736 in words is "six hundred twelve billion, eight hundred sixty-three million, five hundred sixteen thousand, seven hundred thirty-six".