1353144553540 has 96 divisors (see below), whose sum is σ = 3143995192800. Its totient is φ = 485949321216.

The previous prime is 1353144553513. The next prime is 1353144553573. The reversal of 1353144553540 is 453554413531.

It can be written as a sum of positive squares in 16 ways, for example, as 445251921984 + 907892631556 = 667272^2 + 952834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29308314 + ... + 29354446.

It is an arithmetic number, because the mean of its divisors is an integer number (32749949925).

Almost surely, 2^{1353144553540} is an apocalyptic number.

1353144553540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353144553540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571997596400).

1353144553540 is an abundant number, since it is smaller than the sum of its proper divisors (1790850639260).

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

1353144553540 is a wasteful number, since it uses less digits than its factorization.

1353144553540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49241 (or 49239 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 43.

The spelling of 1353144553540 in words is "one trillion, three hundred fifty-three billion, one hundred forty-four million, five hundred fifty-three thousand, five hundred forty".