1834154117328 has 160 divisors (see below), whose sum is σ = 5116161433600. Its totient is φ = 562869554688.

The previous prime is 1834154117321. The next prime is 1834154117363. The reversal of 1834154117328 is 8237114514381.

It is a super-2 number, since 2×1834154117328² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834154117321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552620853 + ... + 552624171.

It is an arithmetic number, because the mean of its divisors is an integer number (31976008960).

Almost surely, 2^{1834154117328} 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 1834154117328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558080716800).

1834154117328 is an abundant number, since it is smaller than the sum of its proper divisors (3282007316272).

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

1834154117328 is a wasteful number, since it uses less digits than its factorization.

1834154117328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5403 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The spelling of 1834154117328 in words is "one trillion, eight hundred thirty-four billion, one hundred fifty-four million, one hundred seventeen thousand, three hundred twenty-eight".