313274185549920 has 768 divisors, whose sum is σ = 1307702655221760. Its totient is φ = 68485778380800.

The previous prime is 313274185549837. The next prime is 313274185549933. The reversal of 313274185549920 is 29945581472313.

313274185549920 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 7 + 4 + 1 + 85 + 549 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13904129055 + ... + 13904151585.

It is an arithmetic number, because the mean of its divisors is an integer number (1702737832320).

Almost surely, 2^{313274185549920} is an apocalyptic number.

313274185549920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313274185549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653851327610880).

313274185549920 is an abundant number, since it is smaller than the sum of its proper divisors (994428469671840).

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

313274185549920 is a wasteful number, since it uses less digits than its factorization.

313274185549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42576 (or 42562 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 313274185549920 in words is "three hundred thirteen trillion, two hundred seventy-four billion, one hundred eighty-five million, five hundred forty-nine thousand, nine hundred twenty".