1652607642048 has 448 divisors, whose sum is σ = 5047164960768. Its totient is φ = 472354938880.

The previous prime is 1652607642041. The next prime is 1652607642053. The reversal of 1652607642048 is 8402467062561.

It is a super-2 number, since 2×1652607642048² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1652607642041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1111369561 + ... + 1111371047.

It is an arithmetic number, because the mean of its divisors is an integer number (11265993216).

Almost surely, 2^{1652607642048} 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 1652607642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523582480384).

1652607642048 is an abundant number, since it is smaller than the sum of its proper divisors (3394557318720).

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

1652607642048 is a wasteful number, since it uses less digits than its factorization.

1652607642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 1652607642048 in words is "one trillion, six hundred fifty-two billion, six hundred seven million, six hundred forty-two thousand, forty-eight".