1607601848052 has 384 divisors, whose sum is σ = 4214328652800. Its totient is φ = 475315568640.

The previous prime is 1607601848023. The next prime is 1607601848071. The reversal of 1607601848052 is 2508481067061.

It is a junction number, because it is equal to n+sod(n) for n = 1607601847992 and 1607601848010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4554112708 + ... + 4554113060.

It is an arithmetic number, because the mean of its divisors is an integer number (10974814200).

Almost surely, 2^{1607601848052} is an apocalyptic number.

1607601848052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607601848052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107164326400).

1607601848052 is an abundant number, since it is smaller than the sum of its proper divisors (2606726804748).

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

1607601848052 is a wasteful number, since it uses less digits than its factorization.

1607601848052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 1607601848052 in words is "one trillion, six hundred seven billion, six hundred one million, eight hundred forty-eight thousand, fifty-two".