23134440405552 has 960 divisors, whose sum is σ = 79159654886400. Its totient is φ = 5773310484480.

The previous prime is 23134440405547. The next prime is 23134440405611. The reversal of 23134440405552 is 25550404443132.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4145211402 + ... + 4145216982.

It is an arithmetic number, because the mean of its divisors is an integer number (82457973840).

Almost surely, 2^{23134440405552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23134440405552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39579827443200).

23134440405552 is an abundant number, since it is smaller than the sum of its proper divisors (56025214480848).

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

23134440405552 is a wasteful number, since it uses less digits than its factorization.

23134440405552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 23134440405552 its reverse (25550404443132), we get a palindrome (48684844848684).

The spelling of 23134440405552 in words is "twenty-three trillion, one hundred thirty-four billion, four hundred forty million, four hundred five thousand, five hundred fifty-two".