4590195089688 has 384 divisors, whose sum is σ = 14925929356800. Its totient is φ = 1298363738112.

The previous prime is 4590195089659. The next prime is 4590195089699. The reversal of 4590195089688 is 8869805910954.

4590195089688 is a `hidden beast` number, since 4 + 59 + 0 + 1 + 9 + 508 + 9 + 68 + 8 = 666.

It is a super-2 number, since 2×4590195089688² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34829245 + ... + 34960787.

It is an arithmetic number, because the mean of its divisors is an integer number (38869607700).

Almost surely, 2^{4590195089688} 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 4590195089688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462964678400).

4590195089688 is an abundant number, since it is smaller than the sum of its proper divisors (10335734267112).

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

4590195089688 is a wasteful number, since it uses less digits than its factorization.

4590195089688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131648 (or 131621 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 72.

The spelling of 4590195089688 in words is "four trillion, five hundred ninety billion, one hundred ninety-five million, eighty-nine thousand, six hundred eighty-eight".