81952046848000 has 288 divisors, whose sum is σ = 237890547760320. Its totient is φ = 28097840332800.

The previous prime is 81952046847959. The next prime is 81952046848003. The reversal of 81952046848000 is 84864025918.

It is a super-2 number, since 2×81952046848000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81952046848003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9277417 + ... + 15810583.

It is an arithmetic number, because the mean of its divisors is an integer number (826008846390).

Almost surely, 2^{81952046848000} is an apocalyptic number.

81952046848000 is a gapful number since it is divisible by the number (80) 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 81952046848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118945273880160).

81952046848000 is an abundant number, since it is smaller than the sum of its proper divisors (155938500912320).

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

81952046848000 is an equidigital number, since it uses as much as digits as its factorization.

81952046848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533218 (or 6533181 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 81952046848000 in words is "eighty-one trillion, nine hundred fifty-two billion, forty-six million, eight hundred forty-eight thousand".