846849383520 has 768 divisors, whose sum is σ = 3238341120000. Its totient is φ = 185720242176.

The previous prime is 846849383503. The next prime is 846849383563. The reversal of 846849383520 is 25383948648.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 921489621 + ... + 921490539.

It is an arithmetic number, because the mean of its divisors is an integer number (4216590000).

Almost surely, 2^846849383520 is an apocalyptic number.

846849383520 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 846849383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619170560000).

846849383520 is an abundant number, since it is smaller than the sum of its proper divisors (2391491736480).

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

846849383520 is a wasteful number, since it uses less digits than its factorization.

846849383520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 846849383520 in words is "eight hundred forty-six billion, eight hundred forty-nine million, three hundred eighty-three thousand, five hundred twenty".