814485196800 has 1560 divisors, whose sum is σ = 3362482823040. Its totient is φ = 193226342400.

The previous prime is 814485196787. The next prime is 814485196823. The reversal of 814485196800 is 8691584418.

It is a happy number.

814485196800 is a `hidden beast` number, since 8 + 1 + 4 + 48 + 519 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×814485196800² (a number of 25 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 119 ways as a sum of consecutive naturals, for example, 7207833544 + ... + 7207833656.

Almost surely, 2^814485196800 is an apocalyptic number.

814485196800 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 814485196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681241411520).

814485196800 is an abundant number, since it is smaller than the sum of its proper divisors (2547997626240).

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

814485196800 is a wasteful number, since it uses less digits than its factorization.

814485196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 814485196800 in words is "eight hundred fourteen billion, four hundred eighty-five million, one hundred ninety-six thousand, eight hundred".