23048309760000 has 560 divisors, whose sum is σ = 87770039896704. Its totient is φ = 5268160512000.

The previous prime is 23048309759921. The next prime is 23048309760011. The reversal of 23048309760000 is 6790384032.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×23048309760000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107412819 + ... + 107627181.

Almost surely, 2^{23048309760000} is an apocalyptic number.

23048309760000 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 23048309760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43885019948352).

23048309760000 is an abundant number, since it is smaller than the sum of its proper divisors (64721730136704).

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

23048309760000 is an frugal number, since it uses more digits than its factorization.

23048309760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214419 (or 214380 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 23048309760000 in words is "twenty-three trillion, forty-eight billion, three hundred nine million, seven hundred sixty thousand".