18416211840 has 384 divisors, whose sum is σ = 71029576800. Its totient is φ = 4532723712.

The previous prime is 18416211817. The next prime is 18416211841. The reversal of 18416211840 is 4811261481.

18416211840 is a `hidden beast` number, since 18 + 4 + 1 + 621 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 18416211795 and 18416211804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18416211841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2017206 + ... + 2026314.

Almost surely, 2^18416211840 is an apocalyptic number.

18416211840 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 18416211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35514788400).

18416211840 is an abundant number, since it is smaller than the sum of its proper divisors (52613364960).

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

18416211840 is an equidigital number, since it uses as much as digits as its factorization.

18416211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 18416211840 in words is "eighteen billion, four hundred sixteen million, two hundred eleven thousand, eight hundred forty".