845427294000 has 400 divisors, whose sum is σ = 3057191993856. Its totient is φ = 225192960000.

The previous prime is 845427293999. The next prime is 845427294037. The reversal of 845427294000 is 492724548.

845427294000 is a `hidden beast` number, since 84 + 542 + 7 + 29 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176091600 + ... + 176096400.

Almost surely, 2^845427294000 is an apocalyptic number.

845427294000 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 845427294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528595996928).

845427294000 is an abundant number, since it is smaller than the sum of its proper divisors (2211764699856).

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

845427294000 is a wasteful number, since it uses less digits than its factorization.

845427294000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 845427294000 in words is "eight hundred forty-five billion, four hundred twenty-seven million, two hundred ninety-four thousand".