1834131456 has 84 divisors (see below), whose sum is σ = 5298491562. Its totient is φ = 611352576.

The previous prime is 1834131451. The next prime is 1834131511. The reversal of 1834131456 is 6541314381.

1834131456 is a `hidden beast` number, since 183 + 413 + 14 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1833209856 + 921600 = 42816^2 + 960^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1834131456.

It is not an unprimeable number, because it can be changed into a prime (1834131451) 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, 61290 + ... + 86166.

Almost surely, 2^1834131456 is an apocalyptic number.

1834131456 is a gapful number since it is divisible by the number (16) 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 1834131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649245781).

1834131456 is an abundant number, since it is smaller than the sum of its proper divisors (3464360106).

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

1834131456 is an equidigital number, since it uses as much as digits as its factorization.

1834131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24909 (or 24882 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1834131456 is about 42826.7609795558. The cubic root of 1834131456 is about 1224.0809891303.

The spelling of 1834131456 in words is "one billion, eight hundred thirty-four million, one hundred thirty-one thousand, four hundred fifty-six".