1358386308864 has 720 divisors, whose sum is σ = 4862023800480. Its totient is φ = 372650803200.

The previous prime is 1358386308863. The next prime is 1358386308889. The reversal of 1358386308864 is 4688036838531.

It is a happy number.

1358386308864 is a `hidden beast` number, since 13 + 583 + 8 + 6 + 30 + 8 + 8 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358386308863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87062664 + ... + 87078264.

It is an arithmetic number, because the mean of its divisors is an integer number (6752810834).

Almost surely, 2^{1358386308864} 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 1358386308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431011900240).

1358386308864 is an abundant number, since it is smaller than the sum of its proper divisors (3503637491616).

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

1358386308864 is a wasteful number, since it uses less digits than its factorization.

1358386308864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15678 (or 15655 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 1358386308864 in words is "one trillion, three hundred fifty-eight billion, three hundred eighty-six million, three hundred eight thousand, eight hundred sixty-four".