2845441368000 has 4032 divisors, whose sum is σ = 14459894392320. Its totient is φ = 524869632000.

The previous prime is 2845441367999. The next prime is 2845441368059. The reversal of 2845441368000 is 8631445482.

2845441368000 is a `hidden beast` number, since 28 + 4 + 544 + 1 + 3 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×2845441368000² (a number of 26 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 12534983887 + ... + 12534984113.

Almost surely, 2^{2845441368000} is an apocalyptic number.

2845441368000 is a gapful number since it is divisible by the number (20) 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 2845441368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229947196160).

2845441368000 is an abundant number, since it is smaller than the sum of its proper divisors (11614453024320).

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

2845441368000 is a wasteful number, since it uses less digits than its factorization.

2845441368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2845441368000 in words is "two trillion, eight hundred forty-five billion, four hundred forty-one million, three hundred sixty-eight thousand".