81407678352 has 320 divisors, whose sum is σ = 285292406784. Its totient is φ = 19315998720.

The previous prime is 81407678333. The next prime is 81407678353. The reversal of 81407678352 is 25387670418.

It is a junction number, because it is equal to n+sod(n) for n = 81407678295 and 81407678304.

It is not an unprimeable number, because it can be changed into a prime (81407678353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4651923 + ... + 4669389.

Almost surely, 2^81407678352 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 81407678352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646203392).

81407678352 is an abundant number, since it is smaller than the sum of its proper divisors (203884728432).

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

81407678352 is a wasteful number, since it uses less digits than its factorization.

81407678352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17606 (or 17600 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 81407678352 in words is "eighty-one billion, four hundred seven million, six hundred seventy-eight thousand, three hundred fifty-two".