4628625156 has 243 divisors, whose sum is σ = 13456219231. Its totient is φ = 1341086208.

The previous prime is 4628625151. The next prime is 4628625163. The reversal of 4628625156 is 6515268264.

The square root of 4628625156 is 68034.

It is a perfect power (a square), and thus also a powerful number.

4628625156 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 625 + 15 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 457532100 + 4171093056 = 21390^2 + 64584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4628625151) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 159607750 + ... + 159607778.

Almost surely, 2^4628625156 is an apocalyptic number.

4628625156 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4628625156 is the 68034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628625156

4628625156 is an abundant number, since it is smaller than the sum of its proper divisors (8827594075).

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

4628625156 is a wasteful number, since it uses less digits than its factorization.

4628625156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The cubic root of 4628625156 is about 1666.5461211126.

The spelling of 4628625156 in words is "four billion, six hundred twenty-eight million, six hundred twenty-five thousand, one hundred fifty-six".