4969935165888 has 336 divisors, whose sum is σ = 17763961602816. Its totient is φ = 1290642554880.

The previous prime is 4969935165883. The next prime is 4969935165907. The reversal of 4969935165888 is 8885615399694.

4969935165888 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 93 + 516 + 5 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4969935165883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 377561995 + ... + 377575157.

Almost surely, 2^{4969935165888} is an apocalyptic number.

4969935165888 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 4969935165888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881980801408).

4969935165888 is an abundant number, since it is smaller than the sum of its proper divisors (12794026436928).

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

4969935165888 is a wasteful number, since it uses less digits than its factorization.

4969935165888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21712 (or 21699 counting only the distinct ones).

The product of its digits is 4031078400, while the sum is 81.

The spelling of 4969935165888 in words is "four trillion, nine hundred sixty-nine billion, nine hundred thirty-five million, one hundred sixty-five thousand, eight hundred eighty-eight".