18434381760 has 280 divisors, whose sum is σ = 65969424576. Its totient is φ = 4886231040.

The previous prime is 18434381699. The next prime is 18434381807. The reversal of 18434381760 is 6718343481.

18434381760 is a `hidden beast` number, since 1 + 8 + 43 + 438 + 176 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4482105 + ... + 4486215.

Almost surely, 2^18434381760 is an apocalyptic number.

18434381760 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 18434381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984712288).

18434381760 is an abundant number, since it is smaller than the sum of its proper divisors (47535042816).

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

18434381760 is a wasteful number, since it uses less digits than its factorization.

18434381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 18434381760 in words is "eighteen billion, four hundred thirty-four million, three hundred eighty-one thousand, seven hundred sixty".