10623145231104 has 144 divisors (see below), whose sum is σ = 32331523940352. Its totient is φ = 3033356673024.

The previous prime is 10623145231067. The next prime is 10623145231183. The reversal of 10623145231104 is 40113254132601.

It is a super-2 number, since 2×10623145231104² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8346172 + ... + 9534404.

It is an arithmetic number, because the mean of its divisors is an integer number (224524471808).

Almost surely, 2^{10623145231104} is an apocalyptic number.

10623145231104 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 10623145231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165761970176).

10623145231104 is an abundant number, since it is smaller than the sum of its proper divisors (21708378709248).

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

10623145231104 is a wasteful number, since it uses less digits than its factorization.

10623145231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189922 (or 1189908 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 10623145231104 its reverse (40113254132601), we get a palindrome (50736399363705).

The spelling of 10623145231104 in words is "ten trillion, six hundred twenty-three billion, one hundred forty-five million, two hundred thirty-one thousand, one hundred four".