8145469285200 has 1200 divisors, whose sum is σ = 32068997452800. Its totient is φ = 1968012288000.

The previous prime is 8145469285183. The next prime is 8145469285243. The reversal of 8145469285200 is 25829645418.

8145469285200 is a `hidden beast` number, since 8 + 1 + 4 + 54 + 69 + 2 + 8 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×8145469285200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5660506081 + ... + 5660507519.

It is an arithmetic number, because the mean of its divisors is an integer number (26724164544).

Almost surely, 2^{8145469285200} is an apocalyptic number.

8145469285200 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 8145469285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16034498726400).

8145469285200 is an abundant number, since it is smaller than the sum of its proper divisors (23923528167600).

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

8145469285200 is a wasteful number, since it uses less digits than its factorization.

8145469285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 8145469285200 in words is "eight trillion, one hundred forty-five billion, four hundred sixty-nine million, two hundred eighty-five thousand, two hundred".