18291726336 has 384 divisors, whose sum is σ = 55724760000. Its totient is φ = 5295833088.

The previous prime is 18291726329. The next prime is 18291726353. The reversal of 18291726336 is 63362719281.

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

It is a super-2 number, since 2×18291726336² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122763190 + ... + 122763338.

Almost surely, 2^18291726336 is an apocalyptic number.

18291726336 is a gapful number since it is divisible by the number (16) 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 18291726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862380000).

18291726336 is an abundant number, since it is smaller than the sum of its proper divisors (37433033664).

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

18291726336 is a wasteful number, since it uses less digits than its factorization.

18291726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 18291726336 in words is "eighteen billion, two hundred ninety-one million, seven hundred twenty-six thousand, three hundred thirty-six".