1834197456 has 240 divisors, whose sum is σ = 6199297664. Its totient is φ = 454975488.

The previous prime is 1834197389. The next prime is 1834197461. The reversal of 1834197456 is 6547914381.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261626 + ... + 1263078.

Almost surely, 2^1834197456 is an apocalyptic number.

1834197456 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 1834197456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099648832).

1834197456 is an abundant number, since it is smaller than the sum of its proper divisors (4365100208).

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

1834197456 is a wasteful number, since it uses less digits than its factorization.

1834197456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1495 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1834197456 is about 42827.5315188723. The cubic root of 1834197456 is about 1224.0956715342.

The spelling of 1834197456 in words is "one billion, eight hundred thirty-four million, one hundred ninety-seven thousand, four hundred fifty-six".