8081949972096 has 3456 divisors, whose sum is σ = 35498879337600. Its totient is φ = 1764915609600.

The previous prime is 8081949972029. The next prime is 8081949972163. The reversal of 8081949972096 is 6902799491808.

It is an interprime number because it is at equal distance from previous prime (8081949972029) and next prime (8081949972163).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 260708063601 + ... + 260708063631.

It is an arithmetic number, because the mean of its divisors is an integer number (10271666475).

Almost surely, 2^{8081949972096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8081949972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749439668800).

8081949972096 is an abundant number, since it is smaller than the sum of its proper divisors (27416929365504).

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

8081949972096 is a wasteful number, since it uses less digits than its factorization.

8081949972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 8081949972096 in words is "eight trillion, eighty-one billion, nine hundred forty-nine million, nine hundred seventy-two thousand, ninety-six".