81114257952 has 240 divisors, whose sum is σ = 293606736192. Its totient is φ = 21392709120.

The previous prime is 81114257947. The next prime is 81114257953. The reversal of 81114257952 is 25975241118.

81114257952 is a `hidden beast` number, since 8 + 11 + 14 + 2 + 579 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81114257898 and 81114257907.

It is not an unprimeable number, because it can be changed into a prime (81114257953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63927 + ... + 407817.

Almost surely, 2^81114257952 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 81114257952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146803368096).

81114257952 is an abundant number, since it is smaller than the sum of its proper divisors (212492478240).

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

81114257952 is a wasteful number, since it uses less digits than its factorization.

81114257952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343933 (or 343916 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 81114257952 in words is "eighty-one billion, one hundred fourteen million, two hundred fifty-seven thousand, nine hundred fifty-two".