4981911264 has 384 divisors, whose sum is σ = 17069875200. Its totient is φ = 1397399040.

The previous prime is 4981911229. The next prime is 4981911269. The reversal of 4981911264 is 4621191894.

It is a happy number.

4981911264 is a `hidden beast` number, since 498 + 1 + 91 + 12 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4981911269) 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 63 ways as a sum of consecutive naturals, for example, 8486779 + ... + 8487365.

It is an arithmetic number, because the mean of its divisors is an integer number (44452800).

Almost surely, 2^4981911264 is an apocalyptic number.

4981911264 is a gapful number since it is divisible by the number (44) 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 4981911264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534937600).

4981911264 is an abundant number, since it is smaller than the sum of its proper divisors (12087963936).

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

4981911264 is a wasteful number, since it uses less digits than its factorization.

4981911264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 4981911264 is about 70582.6555465293. The cubic root of 4981911264 is about 1707.9113680659.

The spelling of 4981911264 in words is "four billion, nine hundred eighty-one million, nine hundred eleven thousand, two hundred sixty-four".