4294985969664 has 520 divisors, whose sum is σ = 13853908135760. Its totient is φ = 1318037225472.

The previous prime is 4294985969647. The next prime is 4294985969669. The reversal of 4294985969664 is 4669695894924.

4294985969664 is a `hidden beast` number, since 4 + 2 + 9 + 498 + 5 + 9 + 69 + 6 + 64 = 666.

It is a super-2 number, since 2×4294985969664² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294985969669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1971080127 + ... + 1971082305.

Almost surely, 2^{4294985969664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4294985969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926954067880).

4294985969664 is an abundant number, since it is smaller than the sum of its proper divisors (9558922166096).

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

4294985969664 is a wasteful number, since it uses less digits than its factorization.

4294985969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2654 counting only the distinct ones).

The product of its digits is 7255941120, while the sum is 81.

The spelling of 4294985969664 in words is "four trillion, two hundred ninety-four billion, nine hundred eighty-five million, nine hundred sixty-nine thousand, six hundred sixty-four".