81614686115952 has 480 divisors, whose sum is σ = 263182455244800. Its totient is φ = 23383441152000.

The previous prime is 81614686115927. The next prime is 81614686115957. The reversal of 81614686115952 is 25951168641618.

It is a happy number.

81614686115952 is a `hidden beast` number, since 8 + 1 + 6 + 1 + 4 + 6 + 8 + 611 + 5 + 9 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 81614686115952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81614686115957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446214823 + ... + 446397689.

It is an arithmetic number, because the mean of its divisors is an integer number (548296781760).

Almost surely, 2^{81614686115952} 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 81614686115952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131591227622400).

81614686115952 is an abundant number, since it is smaller than the sum of its proper divisors (181567769128848).

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

81614686115952 is a wasteful number, since it uses less digits than its factorization.

81614686115952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183133 (or 183124 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 63.

The spelling of 81614686115952 in words is "eighty-one trillion, six hundred fourteen billion, six hundred eighty-six million, one hundred fifteen thousand, nine hundred fifty-two".