638135144352 has 192 divisors, whose sum is σ = 1881558282240. Its totient is φ = 210398404608.

The previous prime is 638135144303. The next prime is 638135144377. The reversal of 638135144352 is 253441531836.

638135144352 is a `hidden beast` number, since 6 + 3 + 81 + 3 + 514 + 4 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 638135144298 and 638135144307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36969708 + ... + 36986964.

It is an arithmetic number, because the mean of its divisors is an integer number (9799782720).

Almost surely, 2^638135144352 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 638135144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940779141120).

638135144352 is an abundant number, since it is smaller than the sum of its proper divisors (1243423137888).

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

638135144352 is a wasteful number, since it uses less digits than its factorization.

638135144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17740 (or 17726 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 638135144352 in words is "six hundred thirty-eight billion, one hundred thirty-five million, one hundred forty-four thousand, three hundred fifty-two".