313364452500 has 360 divisors, whose sum is σ = 1085462265888. Its totient is φ = 75569760000.

The previous prime is 313364452483. The next prime is 313364452523. The reversal of 313364452500 is 5254463313.

313364452500 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 644 + 5 + 2 + 5 + 0 + 0 = 666.

It is a super-3 number, since 3×313364452500³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 48754287 + ... + 48760713.

Almost surely, 2^313364452500 is an apocalyptic number.

313364452500 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 313364452500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542731132944).

313364452500 is an abundant number, since it is smaller than the sum of its proper divisors (772097813388).

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

313364452500 is a wasteful number, since it uses less digits than its factorization.

313364452500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 313364452500 in words is "three hundred thirteen billion, three hundred sixty-four million, four hundred fifty-two thousand, five hundred".