18996294240 has 1152 divisors, whose sum is σ = 86951854080. Its totient is φ = 3657830400.

The previous prime is 18996294211. The next prime is 18996294281. The reversal of 18996294240 is 4249269981.

18996294240 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 629 + 4 + 2 + 4 + 0 = 666.

It is a super-3 number, since 3×18996294240³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 149577057 + ... + 149577183.

It is an arithmetic number, because the mean of its divisors is an integer number (75479040).

Almost surely, 2^18996294240 is an apocalyptic number.

18996294240 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 18996294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43475927040).

18996294240 is an abundant number, since it is smaller than the sum of its proper divisors (67955559840).

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

18996294240 is a wasteful number, since it uses less digits than its factorization.

18996294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

It can be divided in two parts, 18996 and 294240, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 18996294240 in words is "eighteen billion, nine hundred ninety-six million, two hundred ninety-four thousand, two hundred forty".