1352381184000 has 2880 divisors, whose sum is σ = 6450298414560. Its totient is φ = 281014272000.

The previous prime is 1352381183981. The next prime is 1352381184019. The reversal of 1352381184000 is 4811832531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1352381184000 is a `hidden beast` number, since 1 + 3 + 5 + 238 + 1 + 18 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1352381183981) and next prime (1352381184019).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122943743995 + ... + 122943744005.

Almost surely, 2^{1352381184000} is an apocalyptic number.

1352381184000 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 1352381184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225149207280).

1352381184000 is an abundant number, since it is smaller than the sum of its proper divisors (5097917230560).

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

1352381184000 is an frugal number, since it uses more digits than its factorization.

1352381184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1352381184000 in words is "one trillion, three hundred fifty-two billion, three hundred eighty-one million, one hundred eighty-four thousand".