23313442314240 has 1152 divisors, whose sum is σ = 91062728003520. Its totient is φ = 5477690769408.

The previous prime is 23313442314229. The next prime is 23313442314241. The reversal of 23313442314240 is 4241324431332.

23313442314240 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 344 + 231 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×23313442314240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23313442314195 and 23313442314204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23313442314241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2349429919 + ... + 2349439841.

Almost surely, 2^{23313442314240} is an apocalyptic number.

23313442314240 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 23313442314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45531364001760).

23313442314240 is an abundant number, since it is smaller than the sum of its proper divisors (67749285689280).

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

23313442314240 is a wasteful number, since it uses less digits than its factorization.

23313442314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10059 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 23313442314240 its reverse (4241324431332), we get a palindrome (27554766745572).

The spelling of 23313442314240 in words is "twenty-three trillion, three hundred thirteen billion, four hundred forty-two million, three hundred fourteen thousand, two hundred forty".