23145164531250 has 128 divisors (see below), whose sum is σ = 57883801817088. Its totient is φ = 6169800000000.

The previous prime is 23145164531233. The next prime is 23145164531261. The reversal of 23145164531250 is 5213546154132.

It is a super-3 number, since 3×23145164531250³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589523970 + ... + 1589538530.

It is an arithmetic number, because the mean of its divisors is an integer number (452217201696).

Almost surely, 2^{23145164531250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23145164531250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28941900908544).

23145164531250 is an abundant number, since it is smaller than the sum of its proper divisors (34738637285838).

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

23145164531250 is an frugal number, since it uses more digits than its factorization.

23145164531250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17992 (or 17962 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 23145164531250 in words is "twenty-three trillion, one hundred forty-five billion, one hundred sixty-four million, five hundred thirty-one thousand, two hundred fifty".