1353414316672 has 64 divisors (see below), whose sum is σ = 2942346990240. Its totient is φ = 614983818240.

The previous prime is 1353414316651. The next prime is 1353414316673. The reversal of 1353414316672 is 2766134143531.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1353414316673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4117843 + ... + 4434349.

Almost surely, 2^{1353414316672} 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 1353414316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471173495120).

1353414316672 is an abundant number, since it is smaller than the sum of its proper divisors (1588932673568).

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

1353414316672 is a wasteful number, since it uses less digits than its factorization.

1353414316672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319569 (or 319557 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The spelling of 1353414316672 in words is "one trillion, three hundred fifty-three billion, four hundred fourteen million, three hundred sixteen thousand, six hundred seventy-two".