424146336768 has 1232 divisors, whose sum is σ = 1628949279744. Its totient is φ = 107137105920.

The previous prime is 424146336749. The next prime is 424146336797. The reversal of 424146336768 is 867633641424.

424146336768 is a `hidden beast` number, since 4 + 241 + 4 + 6 + 336 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a super-2 number, since 2×424146336768² (a number of 24 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2701568946 + ... + 2701569102.

Almost surely, 2^424146336768 is an apocalyptic number.

424146336768 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 424146336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814474639872).

424146336768 is an abundant number, since it is smaller than the sum of its proper divisors (1204802942976).

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

424146336768 is a wasteful number, since it uses less digits than its factorization.

424146336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 424146336768 in words is "four hundred twenty-four billion, one hundred forty-six million, three hundred thirty-six thousand, seven hundred sixty-eight".