4623609312 has 144 divisors (see below), whose sum is σ = 15048240480. Its totient is φ = 1319141376.

The previous prime is 4623609307. The next prime is 4623609313. The reversal of 4623609312 is 2139063264.

4623609312 is a `hidden beast` number, since 46 + 2 + 3 + 609 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4623609312² = 42755526140026226688, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (4623609313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2033008 + ... + 2035280.

It is an arithmetic number, because the mean of its divisors is an integer number (104501670).

Almost surely, 2^4623609312 is an apocalyptic number.

4623609312 is a gapful number since it is divisible by the number (42) 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 4623609312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524120240).

4623609312 is an abundant number, since it is smaller than the sum of its proper divisors (10424631168).

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

4623609312 is a wasteful number, since it uses less digits than its factorization.

4623609312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4623609312 is about 67997.1272334354. The cubic root of 4623609312 is about 1665.9439151746.

The spelling of 4623609312 in words is "four billion, six hundred twenty-three million, six hundred nine thousand, three hundred twelve".