438100457652 has 192 divisors, whose sum is σ = 1412879328000. Its totient is φ = 115336949760.

The previous prime is 438100457621. The next prime is 438100457659. The reversal of 438100457652 is 256754001834.

438100457652 is a `hidden beast` number, since 4 + 38 + 100 + 457 + 65 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 438100457598 and 438100457607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438100457659) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571777 + ... + 1096872.

It is an arithmetic number, because the mean of its divisors is an integer number (7358746500).

Almost surely, 2^438100457652 is an apocalyptic number.

It is an amenable number.

438100457652 is an abundant number, since it is smaller than the sum of its proper divisors (974778870348).

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

438100457652 is a wasteful number, since it uses less digits than its factorization.

438100457652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668703 (or 1668695 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 438100457652 in words is "four hundred thirty-eight billion, one hundred million, four hundred fifty-seven thousand, six hundred fifty-two".