313678404900 has 675 divisors, whose sum is σ = 1195634997249. Its totient is φ = 71133370560.

The previous prime is 313678404877. The next prime is 313678404911. The reversal of 313678404900 is 9404876313.

The square root of 313678404900 is 560070.

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

It can be written as a sum of positive squares in only one way, i.e., 112924225764 + 200754179136 = 336042^2 + 448056^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2469908637 + ... + 2469908763.

Almost surely, 2^313678404900 is an apocalyptic number.

313678404900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313678404900 is the 560070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313678404900

313678404900 is an abundant number, since it is smaller than the sum of its proper divisors (881956592349).

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

313678404900 is an equidigital number, since it uses as much as digits as its factorization.

313678404900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 313678404900 in words is "three hundred thirteen billion, six hundred seventy-eight million, four hundred four thousand, nine hundred".