1358949032064 has 512 divisors, whose sum is σ = 4403371660800. Its totient is φ = 415201075200.

The previous prime is 1358949032059. The next prime is 1358949032101. The reversal of 1358949032064 is 4602309498531.

1358949032064 is a `hidden beast` number, since 13 + 5 + 89 + 490 + 3 + 2 + 0 + 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 1358949032064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549513132 + ... + 549515604.

It is an arithmetic number, because the mean of its divisors is an integer number (8600335275).

Almost surely, 2^{1358949032064} 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 1358949032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201685830400).

1358949032064 is an abundant number, since it is smaller than the sum of its proper divisors (3044422628736).

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

1358949032064 is an equidigital number, since it uses as much as digits as its factorization.

1358949032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1358949032064 in words is "one trillion, three hundred fifty-eight billion, nine hundred forty-nine million, thirty-two thousand, sixty-four".