4538686883904 has 168 divisors, whose sum is σ = 13146488759040. Its totient is φ = 1496951857152.

The previous prime is 4538686883821. The next prime is 4538686883911. The reversal of 4538686883904 is 4093886868354.

4538686883904 is a `hidden beast` number, since 4 + 5 + 3 + 86 + 86 + 88 + 390 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374503957 + ... + 374516075.

It is an arithmetic number, because the mean of its divisors is an integer number (78252909280).

Almost surely, 2^{4538686883904} 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 4538686883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573244379520).

4538686883904 is an abundant number, since it is smaller than the sum of its proper divisors (8607801875136).

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

4538686883904 is a wasteful number, since it uses less digits than its factorization.

4538686883904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18937 (or 18924 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 4538686883904 in words is "four trillion, five hundred thirty-eight billion, six hundred eighty-six million, eight hundred eighty-three thousand, nine hundred four".