23021011012032 has 336 divisors, whose sum is σ = 75795180489600. Its totient is φ = 6606959892480.

The previous prime is 23021011011997. The next prime is 23021011012033.

23021011012032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23021011011996 and 23021011012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23021011012033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437810319 + ... + 437862897.

Almost surely, 2^{23021011012032} is an apocalyptic number.

23021011012032 is a gapful number since it is divisible by the number (22) 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 23021011012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37897590244800).

23021011012032 is an abundant number, since it is smaller than the sum of its proper divisors (52774169477568).

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

23021011012032 is a wasteful number, since it uses less digits than its factorization.

23021011012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56264 (or 56251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2302101 and 1012032, that added together give a palindrome (3314133).

The spelling of 23021011012032 in words is "twenty-three trillion, twenty-one billion, eleven million, twelve thousand, thirty-two".