133668416448 has 336 divisors, whose sum is σ = 454122739200. Its totient is φ = 36793792512.

The previous prime is 133668416443. The next prime is 133668416449. The reversal of 133668416448 is 844614866331.

133668416448 is a `hidden beast` number, since 1 + 3 + 366 + 84 + 164 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 133668416394 and 133668416403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133668416443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15361603 + ... + 15370301.

Almost surely, 2^133668416448 is an apocalyptic number.

133668416448 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 133668416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227061369600).

133668416448 is an abundant number, since it is smaller than the sum of its proper divisors (320454322752).

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

133668416448 is a wasteful number, since it uses less digits than its factorization.

133668416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8864 (or 8851 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 133668416448 in words is "one hundred thirty-three billion, six hundred sixty-eight million, four hundred sixteen thousand, four hundred forty-eight".