4611948120 has 384 divisors, whose sum is σ = 16907304960. Its totient is φ = 1082557440.

The previous prime is 4611948113. The next prime is 4611948161. The reversal of 4611948120 is 218491164.

4611948120 is a `hidden beast` number, since 46 + 119 + 481 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12041449 + ... + 12041831.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^4611948120 is an apocalyptic number.

4611948120 is a gapful number since it is divisible by the number (40) 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 4611948120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453652480).

4611948120 is an abundant number, since it is smaller than the sum of its proper divisors (12295356840).

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

4611948120 is a wasteful number, since it uses less digits than its factorization.

4611948120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4611948120 is about 67911.3254177829. The cubic root of 4611948120 is about 1664.5421785920.

The spelling of 4611948120 in words is "four billion, six hundred eleven million, nine hundred forty-eight thousand, one hundred twenty".