1358381664 has 144 divisors (see below), whose sum is σ = 4062541392. Its totient is φ = 446404608.

The previous prime is 1358381657. The next prime is 1358381681. The reversal of 1358381664 is 4661838531.

1358381664 is a `hidden beast` number, since 1 + 3 + 583 + 8 + 1 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566452 + ... + 568844.

It is an arithmetic number, because the mean of its divisors is an integer number (28212093).

Almost surely, 2^1358381664 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 1358381664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031270696).

1358381664 is an abundant number, since it is smaller than the sum of its proper divisors (2704159728).

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

1358381664 is an equidigital number, since it uses as much as digits as its factorization.

1358381664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2471 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1358381664 is about 36856.2296498163. The cubic root of 1358381664 is about 1107.4920147467.

The spelling of 1358381664 in words is "one billion, three hundred fifty-eight million, three hundred eighty-one thousand, six hundred sixty-four".