13884336900 has 576 divisors, whose sum is σ = 54796492800. Its totient is φ = 2943682560.

The previous prime is 13884336889. The next prime is 13884336923. The reversal of 13884336900 is 963348831.

It is a super-2 number, since 2×13884336900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25382427 + ... + 25382973.

It is an arithmetic number, because the mean of its divisors is an integer number (95132800).

Almost surely, 2^13884336900 is an apocalyptic number.

13884336900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13884336900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27398246400).

13884336900 is an abundant number, since it is smaller than the sum of its proper divisors (40912155900).

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

13884336900 is a wasteful number, since it uses less digits than its factorization.

13884336900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13884336900 in words is "thirteen billion, eight hundred eighty-four million, three hundred thirty-six thousand, nine hundred".