92825133648 has 160 divisors (see below), whose sum is σ = 274558927104. Its totient is φ = 26804084736.

The previous prime is 92825133647. The next prime is 92825133649. The reversal of 92825133648 is 84633152829.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (92825133647) and next prime (92825133649).

It is a self number, because there is not a number n which added to its sum of digits gives 92825133648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92825133647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699640 + ... + 821672.

Almost surely, 2^92825133648 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 92825133648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137279463552).

92825133648 is an abundant number, since it is smaller than the sum of its proper divisors (181733793456).

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

92825133648 is a wasteful number, since it uses less digits than its factorization.

92825133648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122133 (or 122127 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 92825133648 in words is "ninety-two billion, eight hundred twenty-five million, one hundred thirty-three thousand, six hundred forty-eight".