1832742912000 has 2048 divisors, whose sum is σ = 8244198144000. Its totient is φ = 349175808000.

The previous prime is 1832742911971. The next prime is 1832742912043. The reversal of 1832742912000 is 2192472381.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1832742912000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12300287926 + ... + 12300288074.

It is an arithmetic number, because the mean of its divisors is an integer number (4025487375).

Almost surely, 2^{1832742912000} is an apocalyptic number.

1832742912000 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 1832742912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122099072000).

1832742912000 is an abundant number, since it is smaller than the sum of its proper divisors (6411455232000).

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

1832742912000 is a wasteful number, since it uses less digits than its factorization.

1832742912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 1832742912000 in words is "one trillion, eight hundred thirty-two billion, seven hundred forty-two million, nine hundred twelve thousand".