1353664461120 has 112 divisors (see below), whose sum is σ = 4436526202368. Its totient is φ = 349332756480.

The previous prime is 1353664461091. The next prime is 1353664461139. The reversal of 1353664461120 is 211644663531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22713259 + ... + 22772778.

Almost surely, 2^{1353664461120} is an apocalyptic number.

1353664461120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353664461120 is an abundant number, since it is smaller than the sum of its proper divisors (3082861741248).

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

1353664461120 is a wasteful number, since it uses less digits than its factorization.

1353664461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45486088 (or 45486078 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1353664461120 in words is "one trillion, three hundred fifty-three billion, six hundred sixty-four million, four hundred sixty-one thousand, one hundred twenty".