1350552656544 has 192 divisors, whose sum is σ = 4364132500224. Its totient is φ = 356123713536.

The previous prime is 1350552656543. The next prime is 1350552656591. The reversal of 1350552656544 is 4456562550531.

It is not an unprimeable number, because it can be changed into a prime (1350552656543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63002052 + ... + 63023484.

It is an arithmetic number, because the mean of its divisors is an integer number (22729856772).

Almost surely, 2^{1350552656544} is an apocalyptic number.

1350552656544 is a gapful number since it is divisible by the number (14) 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 1350552656544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182066250112).

1350552656544 is an abundant number, since it is smaller than the sum of its proper divisors (3013579843680).

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

1350552656544 is a wasteful number, since it uses less digits than its factorization.

1350552656544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28679 (or 28671 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 51.

The spelling of 1350552656544 in words is "one trillion, three hundred fifty billion, five hundred fifty-two million, six hundred fifty-six thousand, five hundred forty-four".