10623384576 has 616 divisors, whose sum is σ = 38661770880. Its totient is φ = 2848628736.

The previous prime is 10623384571. The next prime is 10623384619. The reversal of 10623384576 is 67548332601.

10623384576 is a `hidden beast` number, since 10 + 62 + 3 + 3 + 8 + 4 + 576 = 666.

It is a super-2 number, since 2×10623384576² (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 (10623384571) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 99283915 + ... + 99284021.

Almost surely, 2^10623384576 is an apocalyptic number.

10623384576 is a gapful number since it is divisible by the number (16) 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 10623384576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19330885440).

10623384576 is an abundant number, since it is smaller than the sum of its proper divisors (28038386304).

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

10623384576 is an equidigital number, since it uses as much as digits as its factorization.

10623384576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10623384576 in words is "ten billion, six hundred twenty-three million, three hundred eighty-four thousand, five hundred seventy-six".