10313614080 has 972 divisors, whose sum is σ = 45928851696. Its totient is φ = 2128896000.

The previous prime is 10313614063. The next prime is 10313614081. The reversal of 10313614080 is 8041631301.

10313614080 is a `hidden beast` number, since 10 + 31 + 3 + 614 + 0 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10313614081) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68302005 + ... + 68302155.

Almost surely, 2^10313614080 is an apocalyptic number.

10313614080 is a gapful number since it is divisible by the number (10) 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 10313614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22964425848).

10313614080 is an abundant number, since it is smaller than the sum of its proper divisors (35615237616).

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

10313614080 is a wasteful number, since it uses less digits than its factorization.

10313614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10313614080 in words is "ten billion, three hundred thirteen million, six hundred fourteen thousand, eighty".