81145876008 has 192 divisors, whose sum is σ = 222645931200. Its totient is φ = 24558243840.

The previous prime is 81145875989. The next prime is 81145876027. The reversal of 81145876008 is 80067854118.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81145875989) and next prime (81145876027).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73169758 + ... + 73170866.

It is an arithmetic number, because the mean of its divisors is an integer number (1159614225).

Almost surely, 2^81145876008 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 81145876008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111322965600).

81145876008 is an abundant number, since it is smaller than the sum of its proper divisors (141500055192).

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

81145876008 is a wasteful number, since it uses less digits than its factorization.

81145876008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 81145876008 in words is "eighty-one billion, one hundred forty-five million, eight hundred seventy-six thousand, eight".