8187132264507 has 48 divisors (see below), whose sum is σ = 13693978584000. Its totient is φ = 4616705820672.

The previous prime is 8187132264497. The next prime is 8187132264589. The reversal of 8187132264507 is 7054622317818.

8187132264507 is a `hidden beast` number, since 8 + 1 + 8 + 71 + 3 + 2 + 2 + 64 + 507 = 666.

It is not a de Polignac number, because 8187132264507 - 2⁴ = 8187132264491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8187132264107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419619 + ... + 4288307.

It is an arithmetic number, because the mean of its divisors is an integer number (285291220500).

Almost surely, 2^{8187132264507} is an apocalyptic number.

8187132264507 is a deficient number, since it is larger than the sum of its proper divisors (5506846319493).

8187132264507 is a wasteful number, since it uses less digits than its factorization.

8187132264507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869300 (or 2869297 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 8187132264507 in words is "eight trillion, one hundred eighty-seven billion, one hundred thirty-two million, two hundred sixty-four thousand, five hundred seven".