4114924848 has 320 divisors, whose sum is σ = 13199155200. Its totient is φ = 1221454080.

The previous prime is 4114924843. The next prime is 4114924859. The reversal of 4114924848 is 8484294114.

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

It is not an unprimeable number, because it can be changed into a prime (4114924843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13403511 + ... + 13403817.

It is an arithmetic number, because the mean of its divisors is an integer number (41247360).

Almost surely, 2^4114924848 is an apocalyptic number.

4114924848 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 4114924848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

4114924848 is an abundant number, since it is smaller than the sum of its proper divisors (9084230352).

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

4114924848 is a wasteful number, since it uses less digits than its factorization.

4114924848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 4114924848 is about 64147.6799892249. The cubic root of 4114924848 is about 1602.4603875356.

The spelling of 4114924848 in words is "four billion, one hundred fourteen million, nine hundred twenty-four thousand, eight hundred forty-eight".