23164541445240 has 768 divisors, whose sum is σ = 85311845498880. Its totient is φ = 5408429875200.

The previous prime is 23164541445203. The next prime is 23164541445301. The reversal of 23164541445240 is 4254414546132.

23164541445240 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 45 + 41 + 44 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13929368649 + ... + 13929370311.

It is an arithmetic number, because the mean of its divisors is an integer number (111083132160).

Almost surely, 2^{23164541445240} is an apocalyptic number.

23164541445240 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 23164541445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42655922749440).

23164541445240 is an abundant number, since it is smaller than the sum of its proper divisors (62147304053640).

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

23164541445240 is a wasteful number, since it uses less digits than its factorization.

23164541445240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 23164541445240 in words is "twenty-three trillion, one hundred sixty-four billion, five hundred forty-one million, four hundred forty-five thousand, two hundred forty".