1006433454348 has 288 divisors, whose sum is σ = 3170302571520. Its totient is φ = 274784590080.

The previous prime is 1006433454311. The next prime is 1006433454379. The reversal of 1006433454348 is 8434543346001.

1006433454348 is a `hidden beast` number, since 1 + 0 + 0 + 64 + 3 + 3 + 4 + 543 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148855288 + ... + 148862048.

It is an arithmetic number, because the mean of its divisors is an integer number (11007995040).

Almost surely, 2^{1006433454348} is an apocalyptic number.

1006433454348 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 1006433454348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585151285760).

1006433454348 is an abundant number, since it is smaller than the sum of its proper divisors (2163869117172).

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

1006433454348 is a wasteful number, since it uses less digits than its factorization.

1006433454348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 1006433454348 in words is "one trillion, six billion, four hundred thirty-three million, four hundred fifty-four thousand, three hundred forty-eight".