18416133120 has 704 divisors, whose sum is σ = 76743438336. Its totient is φ = 3654942720.

The previous prime is 18416133107. The next prime is 18416133121. The reversal of 18416133120 is 2133161481.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18416133121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27202222 + ... + 27202898.

Almost surely, 2^18416133120 is an apocalyptic number.

18416133120 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 18416133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38371719168).

18416133120 is an abundant number, since it is smaller than the sum of its proper divisors (58327305216).

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

18416133120 is a wasteful number, since it uses less digits than its factorization.

18416133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 18416133120 in words is "eighteen billion, four hundred sixteen million, one hundred thirty-three thousand, one hundred twenty".