814010048 has 56 divisors (see below), whose sum is σ = 1769364000. Its totient is φ = 369840128.

The previous prime is 814010039. The next prime is 814010051. The reversal of 814010048 is 840010418.

It is a super-2 number, since 2×814010048² = 1325224716489924608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 814009999 and 814010026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18653 + ... + 44451.

Almost surely, 2^814010048 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 814010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884682000).

814010048 is an abundant number, since it is smaller than the sum of its proper divisors (955353952).

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

814010048 is a wasteful number, since it uses less digits than its factorization.

814010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25857 (or 25847 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 814010048 is about 28530.8613259397. The cubic root of 814010048 is about 933.7055105273.

The spelling of 814010048 in words is "eight hundred fourteen million, ten thousand, forty-eight".