814225651200 has 960 divisors, whose sum is σ = 3246112235520. Its totient is φ = 198707281920.

The previous prime is 814225651199. The next prime is 814225651207. The reversal of 814225651200 is 2156522418.

814225651200 is a `hidden beast` number, since 81 + 4 + 2 + 2 + 565 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×814225651200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814225651207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570584887 + ... + 570586313.

It is an arithmetic number, because the mean of its divisors is an integer number (3381366912).

Almost surely, 2^814225651200 is an apocalyptic number.

814225651200 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 814225651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623056117760).

814225651200 is an abundant number, since it is smaller than the sum of its proper divisors (2431886584320).

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

814225651200 is a wasteful number, since it uses less digits than its factorization.

814225651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 814225651200 in words is "eight hundred fourteen billion, two hundred twenty-five million, six hundred fifty-one thousand, two hundred".