909125134848 has 480 divisors, whose sum is σ = 3134931351552. Its totient is φ = 247985971200.

The previous prime is 909125134831. The next prime is 909125134873. The reversal of 909125134848 is 848431521909.

It is a happy number.

909125134848 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 251 + 348 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 909125134794 and 909125134803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601670413 + ... + 601671923.

Almost surely, 2^909125134848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 909125134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567465675776).

909125134848 is an abundant number, since it is smaller than the sum of its proper divisors (2225806216704).

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

909125134848 is a wasteful number, since it uses less digits than its factorization.

909125134848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 909125134848 in words is "nine hundred nine billion, one hundred twenty-five million, one hundred thirty-four thousand, eight hundred forty-eight".