849928292100 has 108 divisors (see below), whose sum is σ = 2664298651924. Its totient is φ = 226626647040.

The previous prime is 849928292053. The next prime is 849928292149. The reversal of 849928292100 is 1292829948.

849928292100 is a `hidden beast` number, since 8 + 499 + 28 + 29 + 2 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 297677177604 + 552251114496 = 545598^2 + 743136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11390112 + ... + 11464488.

Almost surely, 2^849928292100 is an apocalyptic number.

It is an amenable number.

849928292100 is an abundant number, since it is smaller than the sum of its proper divisors (1814370359824).

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

849928292100 is a wasteful number, since it uses less digits than its factorization.

849928292100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87094 (or 87084 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 849928292100 in words is "eight hundred forty-nine billion, nine hundred twenty-eight million, two hundred ninety-two thousand, one hundred".