23430103440624 has 240 divisors, whose sum is σ = 70160409446400. Its totient is φ = 7565674192128.

The previous prime is 23430103440581. The next prime is 23430103440659. The reversal of 23430103440624 is 42604430103432.

23430103440624 is a `hidden beast` number, since 2 + 3 + 4 + 301 + 0 + 344 + 0 + 6 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15559417 + ... + 16998695.

It is an arithmetic number, because the mean of its divisors is an integer number (292335039360).

Almost surely, 2^{23430103440624} is an apocalyptic number.

23430103440624 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 23430103440624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35080204723200).

23430103440624 is an abundant number, since it is smaller than the sum of its proper divisors (46730306005776).

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

23430103440624 is a wasteful number, since it uses less digits than its factorization.

23430103440624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439434 (or 1439416 counting only the distinct ones).

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

The spelling of 23430103440624 in words is "twenty-three trillion, four hundred thirty billion, one hundred three million, four hundred forty thousand, six hundred twenty-four".