18904190312448 has 672 divisors, whose sum is σ = 63150284021760. Its totient is φ = 5337506119680.

The previous prime is 18904190312407. The next prime is 18904190312489. The reversal of 18904190312448 is 84421309140981.

18904190312448 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 4 + 190 + 3 + 1 + 2 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (18904190312407) and next prime (18904190312489).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×18904190312448² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18904190312394 and 18904190312403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24841248388 + ... + 24841249148.

Almost surely, 2^{18904190312448} is an apocalyptic number.

18904190312448 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 18904190312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31575142010880).

18904190312448 is an abundant number, since it is smaller than the sum of its proper divisors (44246093709312).

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

18904190312448 is a wasteful number, since it uses less digits than its factorization.

18904190312448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 18904190312448 in words is "eighteen trillion, nine hundred four billion, one hundred ninety million, three hundred twelve thousand, four hundred forty-eight".