8313748153920 has 1344 divisors, whose sum is σ = 33724621651968. Its totient is φ = 1860766617600.

The previous prime is 8313748153873. The next prime is 8313748153957. The reversal of 8313748153920 is 293518473138.

8313748153920 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 7 + 4 + 81 + 539 + 20 = 666.

It is a super-2 number, since 2×8313748153920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21706914049 + ... + 21706914431.

Almost surely, 2^{8313748153920} is an apocalyptic number.

8313748153920 is a gapful number since it is divisible by the number (80) 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 8313748153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16862310825984).

8313748153920 is an abundant number, since it is smaller than the sum of its proper divisors (25410873498048).

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

8313748153920 is a wasteful number, since it uses less digits than its factorization.

8313748153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 8313748153920 in words is "eight trillion, three hundred thirteen billion, seven hundred forty-eight million, one hundred fifty-three thousand, nine hundred twenty".