4749083136 has 720 divisors, whose sum is σ = 17829171360. Its totient is φ = 1254113280.

The previous prime is 4749083111. The next prime is 4749083147. The reversal of 4749083136 is 6313809474.

4749083136 = 85³ + 86³ + ... + 371³.

4749083136 is a `hidden beast` number, since 474 + 90 + 83 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4749083091 and 4749083100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115831276 + ... + 115831316.

It is an arithmetic number, because the mean of its divisors is an integer number (24762738).

Almost surely, 2^4749083136 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 4749083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8914585680).

4749083136 is an abundant number, since it is smaller than the sum of its proper divisors (13080088224).

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

4749083136 is an equidigital number, since it uses as much as digits as its factorization.

4749083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4749083136 is about 68913.5918088732. The cubic root of 4749083136 is about 1680.8795394496.

The spelling of 4749083136 in words is "four billion, seven hundred forty-nine million, eighty-three thousand, one hundred thirty-six".