83472687267345 has 12 divisors (see below), whose sum is σ = 144685991263476. Its totient is φ = 44518766542560.

The previous prime is 83472687267337. The next prime is 83472687267439. The reversal of 83472687267345 is 54376278627438.

83472687267345 is a `hidden beast` number, since 8 + 3 + 472 + 6 + 87 + 2 + 6 + 73 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16085810746944 + 67386876520401 = 4010712^2 + 8208951^2 .

It is not a de Polignac number, because 83472687267345 - 2³ = 83472687267337 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 927474302926 + ... + 927474303015.

It is an arithmetic number, because the mean of its divisors is an integer number (12057165938623).

Almost surely, 2^{83472687267345} is an apocalyptic number.

It is an amenable number.

83472687267345 is a deficient number, since it is larger than the sum of its proper divisors (61213303996131).

83472687267345 is a wasteful number, since it uses less digits than its factorization.

83472687267345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854948605952 (or 1854948605949 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 72.

The spelling of 83472687267345 in words is "eighty-three trillion, four hundred seventy-two billion, six hundred eighty-seven million, two hundred sixty-seven thousand, three hundred forty-five".