4744623631104 has 2592 divisors, whose sum is σ = 18931338316800. Its totient is φ = 1173850030080.

The previous prime is 4744623631021. The next prime is 4744623631127. The reversal of 4744623631104 is 4011363264474.

4744623631104 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 6 + 2 + 3 + 631 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×4744623631104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4744623631104.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60058526937 + ... + 60058527015.

Almost surely, 2^{4744623631104} 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 4744623631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465669158400).

4744623631104 is an abundant number, since it is smaller than the sum of its proper divisors (14186714685696).

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

4744623631104 is a wasteful number, since it uses less digits than its factorization.

4744623631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

Adding to 4744623631104 its reverse (4011363264474), we get a palindrome (8755986895578).

The spelling of 4744623631104 in words is "four trillion, seven hundred forty-four billion, six hundred twenty-three million, six hundred thirty-one thousand, one hundred four".