13858718652900 has 729 divisors, whose sum is σ = 49578108449233. Its totient is φ = 3235499097600.

The previous prime is 13858718652859. The next prime is 13858718652937. The reversal of 13858718652900 is 925681785831.

The square root of 13858718652900 is 3722730.

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

13858718652900 is a `hidden beast` number, since 1 + 38 + 5 + 8 + 71 + 8 + 6 + 529 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 11857127522724 + 2001591130176 = 3443418^2 + 1414776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 35626525906 + ... + 35626526294.

Almost surely, 2^{13858718652900} is an apocalyptic number.

13858718652900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13858718652900 is the 3722730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13858718652900

13858718652900 is an abundant number, since it is smaller than the sum of its proper divisors (35719389796333).

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

13858718652900 is a wasteful number, since it uses less digits than its factorization.

13858718652900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 13858718652900 in words is "thirteen trillion, eight hundred fifty-eight billion, seven hundred eighteen million, six hundred fifty-two thousand, nine hundred".