313064801153496 has 192 divisors, whose sum is σ = 987369988101120. Its totient is φ = 87752589200640.

The previous prime is 313064801153491. The next prime is 313064801153521. The reversal of 313064801153496 is 694351108460313.

313064801153496 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 6 + 4 + 8 + 0 + 11 + 534 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313064801153491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348490261 + ... + 349387451.

It is an arithmetic number, because the mean of its divisors is an integer number (5142552021360).

Almost surely, 2^{313064801153496} is an apocalyptic number.

313064801153496 is a gapful number since it is divisible by the number (36) 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 313064801153496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493684994050560).

313064801153496 is an abundant number, since it is smaller than the sum of its proper divisors (674305186947624).

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

313064801153496 is a wasteful number, since it uses less digits than its factorization.

313064801153496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910326 (or 910319 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 313064801153496 in words is "three hundred thirteen trillion, sixty-four billion, eight hundred one million, one hundred fifty-three thousand, four hundred ninety-six".