23464144146432 has 208 divisors, whose sum is σ = 68516665503552. Its totient is φ = 7082669506560.

The previous prime is 23464144146427. The next prime is 23464144146437.

23464144146432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23464144146427) and next prime (23464144146437).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23464144146437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34400448 + ... + 35075904.

Almost surely, 2^{23464144146432} is an apocalyptic number.

23464144146432 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 23464144146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34258332751776).

23464144146432 is an abundant number, since it is smaller than the sum of its proper divisors (45052521357120).

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

23464144146432 is a wasteful number, since it uses less digits than its factorization.

23464144146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675752 (or 675730 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 23464144146432 in words is "twenty-three trillion, four hundred sixty-four billion, one hundred forty-four million, one hundred forty-six thousand, four hundred thirty-two".