1352849328000 has 384 divisors, whose sum is σ = 5069668219200. Its totient is φ = 345073766400.

The previous prime is 1352849327957. The next prime is 1352849328001. The reversal of 1352849328000 is 8239482531.

1352849328000 is a `hidden beast` number, since 1 + 3 + 5 + 284 + 93 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352849328001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3107766 + ... + 3516234.

Almost surely, 2^{1352849328000} is an apocalyptic number.

1352849328000 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 1352849328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534834109600).

1352849328000 is an abundant number, since it is smaller than the sum of its proper divisors (3716818891200).

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

1352849328000 is a wasteful number, since it uses less digits than its factorization.

1352849328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408527 (or 408502 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1352849328000 in words is "one trillion, three hundred fifty-two billion, eight hundred forty-nine million, three hundred twenty-eight thousand".