10301048832 has 192 divisors, whose sum is σ = 28261396800. Its totient is φ = 3335454720.

The previous prime is 10301048831. The next prime is 10301048921. The reversal of 10301048832 is 23884010301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10301048832² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10301048832.

It is not an unprimeable number, because it can be changed into a prime (10301048831) 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, 56911782 + ... + 56911962.

It is an arithmetic number, because the mean of its divisors is an integer number (147194775).

Almost surely, 2^10301048832 is an apocalyptic number.

10301048832 is a gapful number since it is divisible by the number (12) 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 10301048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130698400).

10301048832 is an abundant number, since it is smaller than the sum of its proper divisors (17960347968).

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

10301048832 is a wasteful number, since it uses less digits than its factorization.

10301048832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 10301048832 in words is "ten billion, three hundred one million, forty-eight thousand, eight hundred thirty-two".