23340006144 has 1296 divisors, whose sum is σ = 94995962880. Its totient is φ = 5643509760.

The previous prime is 23340006143. The next prime is 23340006169. The reversal of 23340006144 is 44160004332.

23340006144 is a `hidden beast` number, since 2 + 3 + 3 + 40 + 0 + 0 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23340006143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 752903409 + ... + 752903439.

Almost surely, 2^23340006144 is an apocalyptic number.

23340006144 is a gapful number since it is divisible by the number (24) 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 23340006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47497981440).

23340006144 is an abundant number, since it is smaller than the sum of its proper divisors (71655956736).

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

23340006144 is a wasteful number, since it uses less digits than its factorization.

23340006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 23340006144 in words is "twenty-three billion, three hundred forty million, six thousand, one hundred forty-four".