4463133137064 has 288 divisors, whose sum is σ = 15116136796800. Its totient is φ = 1182361743360.

The previous prime is 4463133137051. The next prime is 4463133137093. The reversal of 4463133137064 is 4607313313644.

4463133137064 is a `hidden beast` number, since 4 + 4 + 631 + 3 + 3 + 1 + 3 + 7 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2442184 + ... + 3858824.

It is an arithmetic number, because the mean of its divisors is an integer number (52486586100).

Almost surely, 2^{4463133137064} 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 4463133137064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558068398400).

4463133137064 is an abundant number, since it is smaller than the sum of its proper divisors (10653003659736).

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

4463133137064 is a wasteful number, since it uses less digits than its factorization.

4463133137064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416733 (or 1416719 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 4463133137064 in words is "four trillion, four hundred sixty-three billion, one hundred thirty-three million, one hundred thirty-seven thousand, sixty-four".