848692138320 has 1920 divisors, whose sum is σ = 3656600962560. Its totient is φ = 180592312320.

The previous prime is 848692138277. The next prime is 848692138369. The reversal of 848692138320 is 23831296848.

848692138320 is a `hidden beast` number, since 8 + 48 + 69 + 213 + 8 + 320 = 666.

848692138320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3020256580 + ... + 3020256860.

It is an arithmetic number, because the mean of its divisors is an integer number (1904479668).

Almost surely, 2^848692138320 is an apocalyptic number.

848692138320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 848692138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828300481280).

848692138320 is an abundant number, since it is smaller than the sum of its proper divisors (2807908824240).

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

848692138320 is a wasteful number, since it uses less digits than its factorization.

848692138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 848692138320 in words is "eight hundred forty-eight billion, six hundred ninety-two million, one hundred thirty-eight thousand, three hundred twenty".