1353303774464 has 72 divisors (see below), whose sum is σ = 2732960778240. Its totient is φ = 668767131648.

The previous prime is 1353303774457. The next prime is 1353303774481. The reversal of 1353303774464 is 4644773033531.

It is a super-2 number, since 2×1353303774464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8471522 + ... + 8629790.

Almost surely, 2^{1353303774464} 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 1353303774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366480389120).

1353303774464 is an abundant number, since it is smaller than the sum of its proper divisors (1379657003776).

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

1353303774464 is a wasteful number, since it uses less digits than its factorization.

1353303774464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158675 (or 158661 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 50.

The spelling of 1353303774464 in words is "one trillion, three hundred fifty-three billion, three hundred three million, seven hundred seventy-four thousand, four hundred sixty-four".