81114365952 has 136 divisors (see below), whose sum is σ = 240342271280. Its totient is φ = 27037532160.

The previous prime is 81114365933. The next prime is 81114365999. The reversal of 81114365952 is 25956341118.

It is a happy number.

81114365952 is a `hidden beast` number, since 8 + 1 + 11 + 43 + 6 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81114365898 and 81114365907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746552 + ... + 1792392.

Almost surely, 2^81114365952 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 81114365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120171135640).

81114365952 is an abundant number, since it is smaller than the sum of its proper divisors (159227905328).

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

81114365952 is an frugal number, since it uses more digits than its factorization.

81114365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45882 (or 45846 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 81114365952 in words is "eighty-one billion, one hundred fourteen million, three hundred sixty-five thousand, nine hundred fifty-two".