23382084147000 has 256 divisors, whose sum is σ = 74784643614720. Its totient is φ = 6080038848000.

The previous prime is 23382084146989. The next prime is 23382084147007. The reversal of 23382084147000 is 74148028332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23382084147007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25465905 + ... + 26368095.

It is an arithmetic number, because the mean of its divisors is an integer number (292127514120).

Almost surely, 2^{23382084147000} is an apocalyptic number.

23382084147000 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 23382084147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37392321807360).

23382084147000 is an abundant number, since it is smaller than the sum of its proper divisors (51402559467720).

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

23382084147000 is a wasteful number, since it uses less digits than its factorization.

23382084147000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902431 (or 902417 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 23382084147000 in words is "twenty-three trillion, three hundred eighty-two billion, eighty-four million, one hundred forty-seven thousand".