76131846144 has 144 divisors (see below), whose sum is σ = 220367347200. Its totient is φ = 25321365504.

The previous prime is 76131846139. The next prime is 76131846173. The reversal of 76131846144 is 44164813167.

76131846144 is a `hidden beast` number, since 7 + 6 + 13 + 18 + 4 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 76131846144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8824617 + ... + 8833239.

It is an arithmetic number, because the mean of its divisors is an integer number (1530328800).

Almost surely, 2^76131846144 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 76131846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110183673600).

76131846144 is an abundant number, since it is smaller than the sum of its proper divisors (144235501056).

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

76131846144 is a wasteful number, since it uses less digits than its factorization.

76131846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9107 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 76131846144 in words is "seventy-six billion, one hundred thirty-one million, eight hundred forty-six thousand, one hundred forty-four".