81338000952 has 64 divisors (see below), whose sum is σ = 228508116480. Its totient is φ = 23938941312.

The previous prime is 81338000941. The next prime is 81338000957. The reversal of 81338000952 is 25900083318.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 81338000952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81338000957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5660188 + ... + 5674539.

It is an arithmetic number, because the mean of its divisors is an integer number (3570439320).

Almost surely, 2^81338000952 is an apocalyptic number.

It is an amenable number.

81338000952 is an abundant number, since it is smaller than the sum of its proper divisors (147170115528).

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

81338000952 is a wasteful number, since it uses less digits than its factorization.

81338000952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11334772 (or 11334768 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 81338000952 in words is "eighty-one billion, three hundred thirty-eight million, nine hundred fifty-two", and thus it is an aban number.