1353715209808 has 80 divisors (see below), whose sum is σ = 2869464981376. Its totient is φ = 614880668160.

The previous prime is 1353715209787. The next prime is 1353715209919. The reversal of 1353715209808 is 8089025173531.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14768278 + ... + 14859658.

Almost surely, 2^{1353715209808} 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 1353715209808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434732490688).

1353715209808 is an abundant number, since it is smaller than the sum of its proper divisors (1515749771568).

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

1353715209808 is a wasteful number, since it uses less digits than its factorization.

1353715209808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92532 (or 92526 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 1353715209808 in words is "one trillion, three hundred fifty-three billion, seven hundred fifteen million, two hundred nine thousand, eight hundred eight".