71114565801057 has 32 divisors (see below), whose sum is σ = 101812630133760. Its totient is φ = 44053541280000.

The previous prime is 71114565800963. The next prime is 71114565801107. The reversal of 71114565801057 is 75010856541117.

It is a happy number.

It is not a de Polignac number, because 71114565801057 - 2¹² = 71114565796961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71114565801157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72351694 + ... + 73328007.

It is an arithmetic number, because the mean of its divisors is an integer number (3181644691680).

Almost surely, 2^{71114565801057} is an apocalyptic number.

It is an amenable number.

71114565801057 is a deficient number, since it is larger than the sum of its proper divisors (30698064332703).

71114565801057 is a wasteful number, since it uses less digits than its factorization.

71114565801057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145679945.

The product of its (nonzero) digits is 1176000, while the sum is 51.

The spelling of 71114565801057 in words is "seventy-one trillion, one hundred fourteen billion, five hundred sixty-five million, eight hundred one thousand, fifty-seven".