10348314960 has 80 divisors (see below), whose sum is σ = 32110801920. Its totient is φ = 2756881920.

The previous prime is 10348314959. The next prime is 10348314967. The reversal of 10348314960 is 6941384301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10348314960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348314967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234321 + ... + 274959.

It is an arithmetic number, because the mean of its divisors is an integer number (401385024).

Almost surely, 2^10348314960 is an apocalyptic number.

10348314960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10348314960 is an abundant number, since it is smaller than the sum of its proper divisors (21762486960).

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

10348314960 is a wasteful number, since it uses less digits than its factorization.

10348314960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41716 (or 41710 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 10348314960 in words is "ten billion, three hundred forty-eight million, three hundred fourteen thousand, nine hundred sixty".