4348991357568 has 1536 divisors, whose sum is σ = 15715099526400. Its totient is φ = 1187824435200.

The previous prime is 4348991357551. The next prime is 4348991357593. The reversal of 4348991357568 is 8657531998434.

4348991357568 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 9 + 9 + 1 + 3 + 57 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (783820800) is a multiple of the sum of its prime factors (270).

It is a junction number, because it is equal to n+sod(n) for n = 4348991357496 and 4348991357505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31744462396 + ... + 31744462532.

Almost surely, 2^{4348991357568} is an apocalyptic number.

4348991357568 is a gapful number since it is divisible by the number (48) 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 4348991357568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857549763200).

4348991357568 is an abundant number, since it is smaller than the sum of its proper divisors (11366108168832).

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

4348991357568 is a wasteful number, since it uses less digits than its factorization.

4348991357568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 227 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 4348991357568 in words is "four trillion, three hundred forty-eight billion, nine hundred ninety-one million, three hundred fifty-seven thousand, five hundred sixty-eight".