1349552027664 has 480 divisors, whose sum is σ = 4333256403840. Its totient is φ = 404683776000.

The previous prime is 1349552027641. The next prime is 1349552027701. The reversal of 1349552027664 is 4667202559431.

It is a happy number.

1349552027664 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 552 + 0 + 27 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1349552027664.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193591699 + ... + 193598669.

It is an arithmetic number, because the mean of its divisors is an integer number (9027617508).

Almost surely, 2^{1349552027664} 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 1349552027664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166628201920).

1349552027664 is an abundant number, since it is smaller than the sum of its proper divisors (2983704376176).

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

1349552027664 is a wasteful number, since it uses less digits than its factorization.

1349552027664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 1349552027664 in words is "one trillion, three hundred forty-nine billion, five hundred fifty-two million, twenty-seven thousand, six hundred sixty-four".