4614126048 has 288 divisors, whose sum is σ = 15760023552. Its totient is φ = 1251993600.

The previous prime is 4614126017. The next prime is 4614126067. The reversal of 4614126048 is 8406214164.

It is a happy number.

4614126048 is a `hidden beast` number, since 4 + 6 + 1 + 41 + 2 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 8856028 + ... + 8856548.

It is an arithmetic number, because the mean of its divisors is an integer number (54722304).

Almost surely, 2^4614126048 is an apocalyptic number.

4614126048 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 4614126048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880011776).

4614126048 is an abundant number, since it is smaller than the sum of its proper divisors (11145897504).

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

4614126048 is a wasteful number, since it uses less digits than its factorization.

4614126048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4614126048 is about 67927.3586119761. The cubic root of 4614126048 is about 1664.8041562795.

The spelling of 4614126048 in words is "four billion, six hundred fourteen million, one hundred twenty-six thousand, forty-eight".