81446057952 has 384 divisors, whose sum is σ = 261131673600. Its totient is φ = 22190837760.

The previous prime is 81446057941. The next prime is 81446057971. The reversal of 81446057952 is 25975064418.

It is a junction number, because it is equal to n+sod(n) for n = 81446057895 and 81446057904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74515518 + ... + 74516610.

It is an arithmetic number, because the mean of its divisors is an integer number (680030400).

Almost surely, 2^81446057952 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 81446057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130565836800).

81446057952 is an abundant number, since it is smaller than the sum of its proper divisors (179685615648).

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

81446057952 is a wasteful number, since it uses less digits than its factorization.

81446057952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 81446057952 in words is "eighty-one billion, four hundred forty-six million, fifty-seven thousand, nine hundred fifty-two".