1358837838864 has 135 divisors (see below), whose sum is σ = 4180475069407. Its totient is φ = 411722414400.

The previous prime is 1358837838859. The next prime is 1358837838871. The reversal of 1358837838864 is 4688387388531.

The square root of 1358837838864 is 1165692.

It is a perfect power (a square), and thus also a powerful number.

1358837838864 is a `hidden beast` number, since 1 + 3 + 588 + 3 + 7 + 8 + 38 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1358837838792 and 1358837838801.

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 26 ways as a sum of consecutive naturals, for example, 153866929 + ... + 153875759.

Almost surely, 2^{1358837838864} is an apocalyptic number.

1358837838864 is the 1165692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1358837838864

1358837838864 is an abundant number, since it is smaller than the sum of its proper divisors (2821637230543).

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

1358837838864 is an frugal number, since it uses more digits than its factorization.

1358837838864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17698 (or 8847 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 1358837838864 in words is "one trillion, three hundred fifty-eight billion, eight hundred thirty-seven million, eight hundred thirty-eight thousand, eight hundred sixty-four".