71653950083023 has 64 divisors (see below), whose sum is σ = 89793569488896. Its totient is φ = 55548400320000.

The previous prime is 71653950082991. The next prime is 71653950083047. The reversal of 71653950083023 is 32038005935617.

It is not a de Polignac number, because 71653950083023 - 2⁵ = 71653950082991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71653950083063) 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, 45726833986 + ... + 45726835552.

It is an arithmetic number, because the mean of its divisors is an integer number (1403024523264).

Almost surely, 2^{71653950083023} is an apocalyptic number.

71653950083023 is a deficient number, since it is larger than the sum of its proper divisors (18139619405873).

71653950083023 is a wasteful number, since it uses less digits than its factorization.

71653950083023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604.

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 71653950083023 in words is "seventy-one trillion, six hundred fifty-three billion, nine hundred fifty million, eighty-three thousand, twenty-three".