1351843384320 has 1584 divisors, whose sum is σ = 5677344870912. Its totient is φ = 294670172160.

The previous prime is 1351843384313. The next prime is 1351843384349. The reversal of 1351843384320 is 234833481531.

1351843384320 is a `hidden beast` number, since 1 + 3 + 5 + 184 + 3 + 38 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3683496777 + ... + 3683497143.

It is an arithmetic number, because the mean of its divisors is an integer number (3584182368).

Almost surely, 2^{1351843384320} is an apocalyptic number.

1351843384320 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 1351843384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838672435456).

1351843384320 is an abundant number, since it is smaller than the sum of its proper divisors (4325501486592).

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

1351843384320 is a wasteful number, since it uses less digits than its factorization.

1351843384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1351843384320 in words is "one trillion, three hundred fifty-one billion, eight hundred forty-three million, three hundred eighty-four thousand, three hundred twenty".