1353447840992 has 96 divisors (see below), whose sum is σ = 2994838479360. Its totient is φ = 597408007680.

The previous prime is 1353447840971. The next prime is 1353447841019. The reversal of 1353447840992 is 2990487443531.

It is a super-2 number, since 2×1353447840992² (a number of 25 digits) contains 22 as substring.

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, 105806117 + ... + 105818907.

It is an arithmetic number, because the mean of its divisors is an integer number (31196234160).

Almost surely, 2^{1353447840992} 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 1353447840992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497419239680).

1353447840992 is an abundant number, since it is smaller than the sum of its proper divisors (1641390638368).

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

1353447840992 is a wasteful number, since it uses less digits than its factorization.

1353447840992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23896 (or 23888 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 1353447840992 in words is "one trillion, three hundred fifty-three billion, four hundred forty-seven million, eight hundred forty thousand, nine hundred ninety-two".