18924945408 has 240 divisors, whose sum is σ = 56621376000. Its totient is φ = 6246825984.

The previous prime is 18924945401. The next prime is 18924945419. The reversal of 18924945408 is 80454942981.

It is a happy number.

18924945408 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 4 + 94 + 540 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18924945401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79183753 + ... + 79183991.

It is an arithmetic number, because the mean of its divisors is an integer number (235922400).

Almost surely, 2^18924945408 is an apocalyptic number.

18924945408 is a gapful number since it is divisible by the number (18) 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 18924945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28310688000).

18924945408 is an abundant number, since it is smaller than the sum of its proper divisors (37696430592).

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

18924945408 is an equidigital number, since it uses as much as digits as its factorization.

18924945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 18924945408 in words is "eighteen billion, nine hundred twenty-four million, nine hundred forty-five thousand, four hundred eight".