23154241440000 has 1440 divisors, whose sum is σ = 86574676535424. Its totient is φ = 5444075520000.

The previous prime is 23154241439981. The next prime is 23154241440007. The reversal of 23154241440000 is 4414245132.

It is a super-2 number, since 2×23154241440000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 23154241440000.

It is not an unprimeable number, because it can be changed into a prime (23154241440007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27144479574 + ... + 27144480426.

Almost surely, 2^{23154241440000} is an apocalyptic number.

23154241440000 is a gapful number since it is divisible by the number (20) 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 23154241440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43287338267712).

23154241440000 is an abundant number, since it is smaller than the sum of its proper divisors (63420435095424).

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

23154241440000 is an equidigital number, since it uses as much as digits as its factorization.

23154241440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 23154241440000 its reverse (4414245132), we get a palindrome (23158655685132).

The spelling of 23154241440000 in words is "twenty-three trillion, one hundred fifty-four billion, two hundred forty-one million, four hundred forty thousand".