81006914296 has 256 divisors, whose sum is σ = 203046912000. Its totient is φ = 29365163520.

The previous prime is 81006914293. The next prime is 81006914323. The reversal of 81006914296 is 69241960018.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81006914293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159148890 + ... + 159149398.

It is an arithmetic number, because the mean of its divisors is an integer number (793152000).

Almost surely, 2^81006914296 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 81006914296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101523456000).

81006914296 is an abundant number, since it is smaller than the sum of its proper divisors (122039997704).

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

81006914296 is a wasteful number, since it uses less digits than its factorization.

81006914296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 81006914296 in words is "eighty-one billion, six million, nine hundred fourteen thousand, two hundred ninety-six".