848420131118400 has 2016 divisors, whose sum is σ = 3254242915123200. Its totient is φ = 217178977075200.

The previous prime is 848420131118393. The next prime is 848420131118489. The reversal of 848420131118400 is 4811131024848.

848420131118400 is a `hidden beast` number, since 8 + 4 + 8 + 4 + 201 + 31 + 1 + 1 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1103277153216 + ... + 1103277153984.

It is an arithmetic number, because the mean of its divisors is an integer number (1614207795200).

Almost surely, 2^{848420131118400} is an apocalyptic number.

848420131118400 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 848420131118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627121457561600).

848420131118400 is an abundant number, since it is smaller than the sum of its proper divisors (2405822784004800).

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

848420131118400 is a wasteful number, since it uses less digits than its factorization.

848420131118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 848420131118400 in words is "eight hundred forty-eight trillion, four hundred twenty billion, one hundred thirty-one million, one hundred eighteen thousand, four hundred".