23446811028480 has 1056 divisors, whose sum is σ = 90487644825600. Its totient is φ = 5160571895808.

The previous prime is 23446811028467. The next prime is 23446811028493. The reversal of 23446811028480 is 8482011864432.

It is an interprime number because it is at equal distance from previous prime (23446811028467) and next prime (23446811028493).

It is a super-2 number, since 2×23446811028480² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 9581858617 + ... + 9581861063.

It is an arithmetic number, because the mean of its divisors is an integer number (85689057600).

Almost surely, 2^{23446811028480} is an apocalyptic number.

23446811028480 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 23446811028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45243822412800).

23446811028480 is an abundant number, since it is smaller than the sum of its proper divisors (67040833797120).

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

23446811028480 is a wasteful number, since it uses less digits than its factorization.

23446811028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 23446811028480 in words is "twenty-three trillion, four hundred forty-six billion, eight hundred eleven million, twenty-eight thousand, four hundred eighty".