1353533406456 has 384 divisors, whose sum is σ = 4346457096960. Its totient is φ = 347300352000.

The previous prime is 1353533406451. The next prime is 1353533406487. The reversal of 1353533406456 is 6546043353531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353533406451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774774975 + ... + 774776721.

It is an arithmetic number, because the mean of its divisors is an integer number (11318898690).

Almost surely, 2^{1353533406456} 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 1353533406456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173228548480).

1353533406456 is an abundant number, since it is smaller than the sum of its proper divisors (2992923690504).

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

1353533406456 is a wasteful number, since it uses less digits than its factorization.

1353533406456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 48.

Adding to 1353533406456 its reverse (6546043353531), we get a palindrome (7899576759987).

The spelling of 1353533406456 in words is "one trillion, three hundred fifty-three billion, five hundred thirty-three million, four hundred six thousand, four hundred fifty-six".