18896313744 has 720 divisors, whose sum is σ = 71131447296. Its totient is φ = 4800902400.

The previous prime is 18896313707. The next prime is 18896313797. The reversal of 18896313744 is 44731369881.

18896313744 is a `hidden beast` number, since 188 + 96 + 3 + 1 + 374 + 4 = 666.

It is a super-2 number, since 2×18896313744² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 148789809 + ... + 148789935.

Almost surely, 2^18896313744 is an apocalyptic number.

18896313744 is a gapful number since it is divisible by the number (14) 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 18896313744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35565723648).

18896313744 is an abundant number, since it is smaller than the sum of its proper divisors (52235133552).

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

18896313744 is a wasteful number, since it uses less digits than its factorization.

18896313744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 18896313744 in words is "eighteen billion, eight hundred ninety-six million, three hundred thirteen thousand, seven hundred forty-four".