1829974749120 has 1792 divisors, whose sum is σ = 8194896691200. Its totient is φ = 374979870720.

The previous prime is 1829974749103. The next prime is 1829974749157. The reversal of 1829974749120 is 219474799281.

1829974749120 is a `hidden beast` number, since 1 + 82 + 9 + 9 + 7 + 47 + 491 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1674267294 + ... + 1674268386.

Almost surely, 2^{1829974749120} is an apocalyptic number.

1829974749120 is a gapful number since it is divisible by the number (10) 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 1829974749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097448345600).

1829974749120 is an abundant number, since it is smaller than the sum of its proper divisors (6364921942080).

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

1829974749120 is a wasteful number, since it uses less digits than its factorization.

1829974749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1829974749120 in words is "one trillion, eight hundred twenty-nine billion, nine hundred seventy-four million, seven hundred forty-nine thousand, one hundred twenty".