817127626648 has 128 divisors (see below), whose sum is σ = 1705971456000. Its totient is φ = 365309360640.

The previous prime is 817127626597. The next prime is 817127626729. The reversal of 817127626648 is 846626721718.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 817127626592 and 817127626601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211524765 + ... + 211528627.

It is an arithmetic number, because the mean of its divisors is an integer number (13327902000).

Almost surely, 2^817127626648 is an apocalyptic number.

It is an amenable number.

817127626648 is an abundant number, since it is smaller than the sum of its proper divisors (888843829352).

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

817127626648 is a wasteful number, since it uses less digits than its factorization.

817127626648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4981 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 58.

The spelling of 817127626648 in words is "eight hundred seventeen billion, one hundred twenty-seven million, six hundred twenty-six thousand, six hundred forty-eight".