4295769454368 has 192 divisors, whose sum is σ = 14589406782720. Its totient is φ = 1204204824576.

The previous prime is 4295769454367. The next prime is 4295769454397. The reversal of 4295769454368 is 8634549675924.

4295769454368 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 76 + 9 + 4 + 543 + 6 + 8 = 666.

It is a super-2 number, since 2×4295769454368² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4295769454296 and 4295769454305.

It is not an unprimeable number, because it can be changed into a prime (4295769454367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6380205 + ... + 7021292.

It is an arithmetic number, because the mean of its divisors is an integer number (75986493660).

Almost surely, 2^{4295769454368} is an apocalyptic number.

4295769454368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4295769454368 is an abundant number, since it is smaller than the sum of its proper divisors (10293637328352).

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

4295769454368 is a wasteful number, since it uses less digits than its factorization.

4295769454368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13401576 (or 13401562 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 4295769454368 in words is "four trillion, two hundred ninety-five billion, seven hundred sixty-nine million, four hundred fifty-four thousand, three hundred sixty-eight".