1353143460096 has 360 divisors, whose sum is σ = 4215528757440. Its totient is φ = 430897065984.

The previous prime is 1353143460083. The next prime is 1353143460113. The reversal of 1353143460096 is 6900643413531.

It is a happy number.

1353143460096 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 4 + 34 + 600 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 578512495 + ... + 578514833.

It is an arithmetic number, because the mean of its divisors is an integer number (11709802104).

Almost surely, 2^{1353143460096} is an apocalyptic number.

1353143460096 is a gapful number since it is divisible by the number (16) 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 1353143460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107764378720).

1353143460096 is an abundant number, since it is smaller than the sum of its proper divisors (2862385297344).

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

1353143460096 is a wasteful number, since it uses less digits than its factorization.

1353143460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 1353143460096 in words is "one trillion, three hundred fifty-three billion, one hundred forty-three million, four hundred sixty thousand, ninety-six".