10301308864 has 168 divisors, whose sum is σ = 25804042880. Its totient is φ = 3993960960.

The previous prime is 10301308841. The next prime is 10301308873. The reversal of 10301308864 is 46880310301.

It is a super-2 number, since 2×10301308864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16641547 + ... + 16642165.

Almost surely, 2^10301308864 is an apocalyptic number.

10301308864 is a gapful number since it is divisible by the number (14) 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 10301308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902021440).

10301308864 is an abundant number, since it is smaller than the sum of its proper divisors (15502734016).

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

10301308864 is a wasteful number, since it uses less digits than its factorization.

10301308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 10301308864 in words is "ten billion, three hundred one million, three hundred eight thousand, eight hundred sixty-four".