11424689100 has 216 divisors, whose sum is σ = 39471567408. Its totient is φ = 2740838400.

The previous prime is 11424689093. The next prime is 11424689147. The reversal of 11424689100 is 198642411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 954352 + ... + 966248.

It is an arithmetic number, because the mean of its divisors is an integer number (182738738).

Almost surely, 2^11424689100 is an apocalyptic number.

11424689100 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 11424689100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19735783704).

11424689100 is an abundant number, since it is smaller than the sum of its proper divisors (28046878308).

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

11424689100 is a wasteful number, since it uses less digits than its factorization.

11424689100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025 (or 12015 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11424689100 in words is "eleven billion, four hundred twenty-four million, six hundred eighty-nine thousand, one hundred".