81074448000 has 1536 divisors, whose sum is σ = 375319526400. Its totient is φ = 16301260800.

The previous prime is 81074447939. The next prime is 81074448029. The reversal of 81074448000 is 84447018.

It is a happy number.

It is a super-2 number, since 2×81074448000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 301391866 + ... + 301392134.

It is an arithmetic number, because the mean of its divisors is an integer number (244348650).

Almost surely, 2^81074448000 is an apocalyptic number.

81074448000 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 81074448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187659763200).

81074448000 is an abundant number, since it is smaller than the sum of its proper divisors (294245078400).

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

81074448000 is a wasteful number, since it uses less digits than its factorization.

81074448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 81074448000 in words is "eighty-one billion, seventy-four million, four hundred forty-eight thousand".