13858737400 has 48 divisors (see below), whose sum is σ = 33622513200. Its totient is φ = 5302471680.

The previous prime is 13858737371. The next prime is 13858737401. The reversal of 13858737400 is 473785831.

13858737400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13858737401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1501785 + ... + 1510984.

It is an arithmetic number, because the mean of its divisors is an integer number (700469025).

Almost surely, 2^13858737400 is an apocalyptic number.

13858737400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13858737400 is an abundant number, since it is smaller than the sum of its proper divisors (19763775800).

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

13858737400 is a wasteful number, since it uses less digits than its factorization.

13858737400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012808 (or 3012799 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 13858737400 in words is "thirteen billion, eight hundred fifty-eight million, seven hundred thirty-seven thousand, four hundred".