1353203798208 has 448 divisors, whose sum is σ = 3997985765760. Its totient is φ = 402128896000.

The previous prime is 1353203798137. The next prime is 1353203798257. The reversal of 1353203798208 is 8028973023531.

It is a happy number.

It is a super-2 number, since 2×1353203798208² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716358928 + ... + 716360816.

It is an arithmetic number, because the mean of its divisors is an integer number (8924075370).

Almost surely, 2^{1353203798208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353203798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998992882880).

1353203798208 is an abundant number, since it is smaller than the sum of its proper divisors (2644781967552).

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

1353203798208 is a wasteful number, since it uses less digits than its factorization.

1353203798208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1353203798208 in words is "one trillion, three hundred fifty-three billion, two hundred three million, seven hundred ninety-eight thousand, two hundred eight".