4268959746912 has 576 divisors, whose sum is σ = 14718821644800. Its totient is φ = 1216612680192.

The previous prime is 4268959746901. The next prime is 4268959746913. The reversal of 4268959746912 is 2196479598624.

4268959746912 is a `hidden beast` number, since 4 + 2 + 68 + 9 + 5 + 97 + 469 + 12 = 666.

4268959746912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4268959746912³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268959746913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1181553618 + ... + 1181557230.

It is an arithmetic number, because the mean of its divisors is an integer number (25553509800).

Almost surely, 2^{4268959746912} is an apocalyptic number.

4268959746912 is a gapful number since it is divisible by the number (42) 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 4268959746912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359410822400).

4268959746912 is an abundant number, since it is smaller than the sum of its proper divisors (10449861897888).

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

4268959746912 is an equidigital number, since it uses as much as digits as its factorization.

4268959746912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4068 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 4268959746912 in words is "four trillion, two hundred sixty-eight billion, nine hundred fifty-nine million, seven hundred forty-six thousand, nine hundred twelve".