18916071840 has 288 divisors, whose sum is σ = 66017742336. Its totient is φ = 4931020800.

The previous prime is 18916071817. The next prime is 18916071847. The reversal of 18916071840 is 4817061981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (18916071847) 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 47 ways as a sum of consecutive naturals, for example, 12070737 + ... + 12072303.

It is an arithmetic number, because the mean of its divisors is an integer number (229228272).

Almost surely, 2^18916071840 is an apocalyptic number.

18916071840 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 18916071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33008871168).

18916071840 is an abundant number, since it is smaller than the sum of its proper divisors (47101670496).

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

18916071840 is a wasteful number, since it uses less digits than its factorization.

18916071840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 18916071840 in words is "eighteen billion, nine hundred sixteen million, seventy-one thousand, eight hundred forty".