4148451792 has 240 divisors, whose sum is σ = 13115232000. Its totient is φ = 1216290816.

The previous prime is 4148451779. The next prime is 4148451863. The reversal of 4148451792 is 2971548414.

4148451792 is a `hidden beast` number, since 4 + 1 + 48 + 4 + 517 + 92 = 666.

4148451792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4148451792² = 34419304541096022528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3673884 + ... + 3675012.

It is an arithmetic number, because the mean of its divisors is an integer number (54646800).

Almost surely, 2^4148451792 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 4148451792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557616000).

4148451792 is an abundant number, since it is smaller than the sum of its proper divisors (8966780208).

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

4148451792 is a wasteful number, since it uses less digits than its factorization.

4148451792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 4148451792 is about 64408.4760881672. The cubic root of 4148451792 is about 1606.8007133979.

The spelling of 4148451792 in words is "four billion, one hundred forty-eight million, four hundred fifty-one thousand, seven hundred ninety-two".