23064000046032 has 160 divisors (see below), whose sum is σ = 65653746462720. Its totient is φ = 6918689180160.

The previous prime is 23064000046001. The next prime is 23064000046051.

It is a happy number.

23064000046032 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150403894 + ... + 150557162.

It is an arithmetic number, because the mean of its divisors is an integer number (410335915392).

Almost surely, 2^{23064000046032} is an apocalyptic number.

23064000046032 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 23064000046032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32826873231360).

23064000046032 is an abundant number, since it is smaller than the sum of its proper divisors (42589746416688).

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

23064000046032 is a wasteful number, since it uses less digits than its factorization.

23064000046032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156161 (or 156155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 230640000 and 46032, that added together give a palindrome (230686032).

The spelling of 23064000046032 in words is "twenty-three trillion, sixty-four billion, forty-six thousand, thirty-two".