813414146800 has 30 divisors (see below), whose sum is σ = 1954227488648. Its totient is φ = 325365658560.

The previous prime is 813414146761. The next prime is 813414146803. The reversal of 813414146800 is 8641414318.

813414146800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813414146803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1016767284 + ... + 1016768083.

Almost surely, 2^813414146800 is an apocalyptic number.

813414146800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813414146800 is an abundant number, since it is smaller than the sum of its proper divisors (1140813341848).

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

813414146800 is a wasteful number, since it uses less digits than its factorization.

813414146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033535385 (or 2033535374 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 813414146800 in words is "eight hundred thirteen billion, four hundred fourteen million, one hundred forty-six thousand, eight hundred".