800154381312 has 1056 divisors, whose sum is σ = 2854061683200. Its totient is φ = 220723937280.

The previous prime is 800154381287. The next prime is 800154381331. The reversal of 800154381312 is 213183451008.

800154381312 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 543 + 81 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4020876189 + ... + 4020876387.

Almost surely, 2^800154381312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800154381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427030841600).

800154381312 is an abundant number, since it is smaller than the sum of its proper divisors (2053907301888).

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

800154381312 is a wasteful number, since it uses less digits than its factorization.

800154381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 800154381312 in words is "eight hundred billion, one hundred fifty-four million, three hundred eighty-one thousand, three hundred twelve".