1353353200164 has 144 divisors (see below), whose sum is σ = 4059138370560. Its totient is φ = 372035669760.

The previous prime is 1353353200151. The next prime is 1353353200259. The reversal of 1353353200164 is 4610023533531.

1353353200164 is a `hidden beast` number, since 1 + 35 + 33 + 532 + 0 + 0 + 1 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850782 + ... + 1852170.

Almost surely, 2^{1353353200164} is an apocalyptic number.

1353353200164 is a gapful number since it is divisible by the number (14) 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 1353353200164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029569185280).

1353353200164 is an abundant number, since it is smaller than the sum of its proper divisors (2705785170396).

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

1353353200164 is a wasteful number, since it uses less digits than its factorization.

1353353200164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001610 (or 1001605 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 1353353200164 its reverse (4610023533531), we get a palindrome (5963376733695).

The spelling of 1353353200164 in words is "one trillion, three hundred fifty-three billion, three hundred fifty-three million, two hundred thousand, one hundred sixty-four".