4635372985056 has 576 divisors, whose sum is σ = 15649295800320. Its totient is φ = 1335978800640.

The previous prime is 4635372985027. The next prime is 4635372985097. The reversal of 4635372985056 is 6505892735364.

It is a happy number.

4635372985056 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 37 + 2 + 98 + 505 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4635372984984 and 4635372985002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352145131 + ... + 352158293.

It is an arithmetic number, because the mean of its divisors is an integer number (27168916320).

Almost surely, 2^{4635372985056} is an apocalyptic number.

4635372985056 is a gapful number since it is divisible by the number (46) 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 4635372985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824647900160).

4635372985056 is an abundant number, since it is smaller than the sum of its proper divisors (11013922815264).

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

4635372985056 is a wasteful number, since it uses less digits than its factorization.

4635372985056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13401 (or 13381 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 4635372985056 in words is "four trillion, six hundred thirty-five billion, three hundred seventy-two million, nine hundred eighty-five thousand, fifty-six".