18813871440 has 1440 divisors, whose sum is σ = 88914309120. Its totient is φ = 3511517184.

The previous prime is 18813871429. The next prime is 18813871463. The reversal of 18813871440 is 4417831881.

18813871440 is a `hidden beast` number, since 1 + 8 + 8 + 138 + 71 + 440 = 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 287 ways as a sum of consecutive naturals, for example, 148140657 + ... + 148140783.

It is an arithmetic number, because the mean of its divisors is an integer number (61746048).

Almost surely, 2^18813871440 is an apocalyptic number.

18813871440 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 18813871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457154560).

18813871440 is an abundant number, since it is smaller than the sum of its proper divisors (70100437680).

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

18813871440 is a wasteful number, since it uses less digits than its factorization.

18813871440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 18813871440 in words is "eighteen billion, eight hundred thirteen million, eight hundred seventy-one thousand, four hundred forty".