13386490000 has 225 divisors, whose sum is σ = 35493640743. Its totient is φ = 4887168000.

The previous prime is 13386489973. The next prime is 13386490027. The reversal of 13386490000 is 9468331.

The square root of 13386490000 is 115700.

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

It is an interprime number because it is at equal distance from previous prime (13386489973) and next prime (13386490027).

It can be written as a sum of positive squares in 22 ways, for example, as 3832600464 + 9553889536 = 61908^2 + 97744^2 .

It is a super-2 number, since 2×13386490000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 150409956 + ... + 150410044.

Almost surely, 2^13386490000 is an apocalyptic number.

13386490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13386490000 is the 115700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13386490000

13386490000 is an abundant number, since it is smaller than the sum of its proper divisors (22107150743).

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

13386490000 is an frugal number, since it uses more digits than its factorization.

13386490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 13386490000 in words is "thirteen billion, three hundred eighty-six million, four hundred ninety thousand".