612791496100 has 243 divisors, whose sum is σ = 1584104991651. Its totient is φ = 205158844800.

The previous prime is 612791496073. The next prime is 612791496131. The reversal of 612791496100 is 1694197216.

The square root of 612791496100 is 782810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4616115364 + 608175380736 = 67942^2 + 779856^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 2904224995 + ... + 2904225205.

Almost surely, 2^612791496100 is an apocalyptic number.

612791496100 is the 782810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612791496100

612791496100 is an abundant number, since it is smaller than the sum of its proper divisors (971313495551).

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

612791496100 is a wasteful number, since it uses less digits than its factorization.

612791496100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 612791496100 in words is "six hundred twelve billion, seven hundred ninety-one million, four hundred ninety-six thousand, one hundred".