845674917120 has 864 divisors, whose sum is σ = 3391042112640. Its totient is φ = 192306216960.

The previous prime is 845674917107. The next prime is 845674917149. The reversal of 845674917120 is 21719476548.

845674917120 is a `hidden beast` number, since 8 + 4 + 5 + 67 + 491 + 71 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 984487251 + ... + 984488109.

It is an arithmetic number, because the mean of its divisors is an integer number (3924817260).

Almost surely, 2^845674917120 is an apocalyptic number.

845674917120 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 845674917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695521056320).

845674917120 is an abundant number, since it is smaller than the sum of its proper divisors (2545367195520).

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

845674917120 is a wasteful number, since it uses less digits than its factorization.

845674917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 845674917120 in words is "eight hundred forty-five billion, six hundred seventy-four million, nine hundred seventeen thousand, one hundred twenty".