313470093456 has 405 divisors, whose sum is σ = 986492362401. Its totient is φ = 92878036992.

The previous prime is 313470093427. The next prime is 313470093457. The reversal of 313470093456 is 654390074313.

The square root of 313470093456 is 559884.

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

It can be written as a sum of positive squares in 13 ways, for example, as 152521491600 + 160948601856 = 390540^2 + 401184^2 .

It is not an unprimeable number, because it can be changed into a prime (313470093457) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3231650400 + ... + 3231650496.

Almost surely, 2^313470093456 is an apocalyptic number.

313470093456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

313470093456 is the 559884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313470093456

313470093456 is an abundant number, since it is smaller than the sum of its proper divisors (673022268945).

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

313470093456 is a wasteful number, since it uses less digits than its factorization.

313470093456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 313470093456 in words is "three hundred thirteen billion, four hundred seventy million, ninety-three thousand, four hundred fifty-six".