1829148048000 has 4608 divisors, whose sum is σ = 9355721356800. Its totient is φ = 347435827200.

The previous prime is 1829148047999. The next prime is 1829148048011. The reversal of 1829148048000 is 8408419281.

1829148048000 is a `hidden beast` number, since 1 + 8 + 2 + 91 + 4 + 80 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 79528175989 + ... + 79528176011.

It is an arithmetic number, because the mean of its divisors is an integer number (2030321475).

Almost surely, 2^{1829148048000} is an apocalyptic number.

1829148048000 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 1829148048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677860678400).

1829148048000 is an abundant number, since it is smaller than the sum of its proper divisors (7526573308800).

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

1829148048000 is a wasteful number, since it uses less digits than its factorization.

1829148048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1829148048000 in words is "one trillion, eight hundred twenty-nine billion, one hundred forty-eight million, forty-eight thousand".