4614625152 has 192 divisors, whose sum is σ = 14305948800. Its totient is φ = 1423070208.

The previous prime is 4614625117. The next prime is 4614625157. The reversal of 4614625152 is 2515264164.

4614625152 is a `hidden beast` number, since 4 + 6 + 14 + 625 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4614625157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938733 + ... + 943635.

It is an arithmetic number, because the mean of its divisors is an integer number (74510150).

Almost surely, 2^4614625152 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 4614625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152974400).

4614625152 is an abundant number, since it is smaller than the sum of its proper divisors (9691323648).

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

4614625152 is a wasteful number, since it uses less digits than its factorization.

4614625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4970 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4614625152 is about 67931.0323195519. The cubic root of 4614625152 is about 1664.8641806804.

The spelling of 4614625152 in words is "four billion, six hundred fourteen million, six hundred twenty-five thousand, one hundred fifty-two".