4148921736 has 96 divisors (see below), whose sum is σ = 11924072160. Its totient is φ = 1350784512.

The previous prime is 4148921729. The next prime is 4148921737. The reversal of 4148921736 is 6371298414.

4148921736 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4148921691 and 4148921700.

It is not an unprimeable number, because it can be changed into a prime (4148921737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58776 + ... + 108408.

It is an arithmetic number, because the mean of its divisors is an integer number (124209085).

Almost surely, 2^4148921736 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 4148921736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962036080).

4148921736 is an abundant number, since it is smaller than the sum of its proper divisors (7775150424).

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

4148921736 is a wasteful number, since it uses less digits than its factorization.

4148921736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49697 (or 49681 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4148921736 is about 64412.1241382397. The cubic root of 4148921736 is about 1606.8613848549.

The spelling of 4148921736 in words is "four billion, one hundred forty-eight million, nine hundred twenty-one thousand, seven hundred thirty-six".