3598165122048 has 528 divisors, whose sum is σ = 12284804226240. Its totient is φ = 992968704000.

The previous prime is 3598165122001. The next prime is 3598165122059. The reversal of 3598165122048 is 8402215618953.

3598165122048 is a `hidden beast` number, since 3 + 5 + 9 + 81 + 6 + 512 + 2 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3598165121985 and 3598165122003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267137458 + ... + 267150926.

Almost surely, 2^{3598165122048} 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 3598165122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142402113120).

3598165122048 is an abundant number, since it is smaller than the sum of its proper divisors (8686639104192).

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

3598165122048 is a wasteful number, since it uses less digits than its factorization.

3598165122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13644 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 3598165122048 in words is "three trillion, five hundred ninety-eight billion, one hundred sixty-five million, one hundred twenty-two thousand, forty-eight".