816783414000 has 160 divisors (see below), whose sum is σ = 2633935988736. Its totient is φ = 217757113600.

The previous prime is 816783413993. The next prime is 816783414001. The reversal of 816783414000 is 414387618.

816783414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816783414001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29788297 + ... + 29815703.

Almost surely, 2^816783414000 is an apocalyptic number.

816783414000 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 816783414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316967994368).

816783414000 is an abundant number, since it is smaller than the sum of its proper divisors (1817152574736).

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

816783414000 is a wasteful number, since it uses less digits than its factorization.

816783414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32400 (or 32384 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 816783414000 in words is "eight hundred sixteen billion, seven hundred eighty-three million, four hundred fourteen thousand".