614671680100 has 27 divisors (see below), whose sum is σ = 1333854559051. Its totient is φ = 245865536000.

The previous prime is 614671680053. The next prime is 614671680109. The reversal of 614671680100 is 1086176416.

The square root of 614671680100 is 784010.

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 217075855396 + 397595824704 = 465914^2 + 630552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (614671680109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7800900 + ... + 7879300.

Almost surely, 2^614671680100 is an apocalyptic number.

614671680100 is the 784010-th square number.

It is an amenable number.

614671680100 is an abundant number, since it is smaller than the sum of its proper divisors (719182878951).

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

614671680100 is an frugal number, since it uses more digits than its factorization.

614671680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156816 (or 78408 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 614671680100 in words is "six hundred fourteen billion, six hundred seventy-one million, six hundred eighty thousand, one hundred".