392873225616 has 225 divisors, whose sum is σ = 1190249581521. Its totient is φ = 125098452864.

The previous prime is 392873225611. The next prime is 392873225681. The reversal of 392873225616 is 616522378293.

The square root of 392873225616 is 626796.

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

392873225616 is a `hidden beast` number, since 3 + 9 + 2 + 8 + 73 + 2 + 2 + 561 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 242713875600 + 150159350016 = 492660^2 + 387504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (392873225611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 518986710 + ... + 518987466.

Almost surely, 2^392873225616 is an apocalyptic number.

392873225616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

392873225616 is the 626796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392873225616

392873225616 is an abundant number, since it is smaller than the sum of its proper divisors (797376355905).

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

392873225616 is an frugal number, since it uses more digits than its factorization.

392873225616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 785 counting only the distinct ones).

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

The spelling of 392873225616 in words is "three hundred ninety-two billion, eight hundred seventy-three million, two hundred twenty-five thousand, six hundred sixteen".