82148615001 has 24 divisors (see below), whose sum is σ = 121447044576. Its totient is φ = 53479601280.

The previous prime is 82148614991. The next prime is 82148615009. The reversal of 82148615001 is 10051684128.

82148615001 is a `hidden beast` number, since 8 + 2 + 148 + 6 + 1 + 500 + 1 = 666.

It is not a de Polignac number, because 82148615001 - 2²⁵ = 82115060569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82148615009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1804546 + ... + 1849508.

It is an arithmetic number, because the mean of its divisors is an integer number (5060293524).

Almost surely, 2^82148615001 is an apocalyptic number.

It is an amenable number.

82148615001 is a deficient number, since it is larger than the sum of its proper divisors (39298429575).

82148615001 is a wasteful number, since it uses less digits than its factorization.

82148615001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49733 (or 49730 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 82148615001 in words is "eighty-two billion, one hundred forty-eight million, six hundred fifteen thousand, one".