81232454016 has 1024 divisors, whose sum is σ = 308448000000. Its totient is φ = 20939046912.

The previous prime is 81232453997. The next prime is 81232454059. The reversal of 81232454016 is 61045423218.

It is a happy number.

81232454016 is a `hidden beast` number, since 8 + 1 + 2 + 3 + 245 + 401 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 584406075 + ... + 584406213.

It is an arithmetic number, because the mean of its divisors is an integer number (301218750).

Almost surely, 2^81232454016 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 81232454016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000000).

81232454016 is an abundant number, since it is smaller than the sum of its proper divisors (227215545984).

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

81232454016 is a wasteful number, since it uses less digits than its factorization.

81232454016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 81232454016 in words is "eighty-one billion, two hundred thirty-two million, four hundred fifty-four thousand, sixteen".