848133609264 has 120 divisors (see below), whose sum is σ = 2402947466400. Its totient is φ = 279236035584.

The previous prime is 848133609233. The next prime is 848133609269. The reversal of 848133609264 is 462906331848.

848133609264 is a `hidden beast` number, since 8 + 4 + 8 + 1 + 3 + 3 + 609 + 26 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 848133609264.

It is not an unprimeable number, because it can be changed into a prime (848133609269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3817854 + ... + 4033890.

It is an arithmetic number, because the mean of its divisors is an integer number (20024562220).

Almost surely, 2^848133609264 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 848133609264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201473733200).

848133609264 is an abundant number, since it is smaller than the sum of its proper divisors (1554813857136).

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

848133609264 is a wasteful number, since it uses less digits than its factorization.

848133609264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216387 (or 216378 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 848133609264 in words is "eight hundred forty-eight billion, one hundred thirty-three million, six hundred nine thousand, two hundred sixty-four".