23023111132032 has 128 divisors (see below), whose sum is σ = 66860686656000. Its totient is φ = 6961433456640.

The previous prime is 23023111132003. The next prime is 23023111132039.

23023111132032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23023111131993 and 23023111132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023111132039) 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, 4033032 + ... + 7893767.

It is an arithmetic number, because the mean of its divisors is an integer number (522349114500).

Almost surely, 2^{23023111132032} is an apocalyptic number.

23023111132032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23023111132032 is an abundant number, since it is smaller than the sum of its proper divisors (43837575523968).

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

23023111132032 is a wasteful number, since it uses less digits than its factorization.

23023111132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927284 (or 11927272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2302311 and 1132032, that added together give a palindrome (3434343).

The spelling of 23023111132032 in words is "twenty-three trillion, twenty-three billion, one hundred eleven million, one hundred thirty-two thousand, thirty-two".