76071442848001 has 2 divisors, whose sum is σ = 76071442848002. Its totient is φ = 76071442848000.

The previous prime is 76071442847963. The next prime is 76071442848041. The reversal of 76071442848001 is 10084824417067.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49030818844401 + 27040624003600 = 7002201^2 + 5200060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76071442848001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76071442848001.

It is not a weakly prime, because it can be changed into another prime (76071442848041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38035721424000 + 38035721424001.

It is an arithmetic number, because the mean of its divisors is an integer number (38035721424001).

Almost surely, 2^{76071442848001} is an apocalyptic number.

It is an amenable number.

76071442848001 is a deficient number, since it is larger than the sum of its proper divisors (1).

76071442848001 is an equidigital number, since it uses as much as digits as its factorization.

76071442848001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2408448, while the sum is 52.

The spelling of 76071442848001 in words is "seventy-six trillion, seventy-one billion, four hundred forty-two million, eight hundred forty-eight thousand, one".