1802596241664 has 243 divisors, whose sum is σ = 5276358933573. Its totient is φ = 591864569856.

The previous prime is 1802596241609. The next prime is 1802596241683. The reversal of 1802596241664 is 4661426952081.

It is a happy number.

The square root of 1802596241664 is 1342608.

It is a perfect power (a square), and thus also a powerful number.

1802596241664 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 5 + 9 + 624 + 1 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 486087840000 + 1316508401664 = 697200^2 + 1147392^2 .

It is a super-2 number, since 2×1802596241664² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1802596241664.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5348950104 + ... + 5348950440.

Almost surely, 2^{1802596241664} is an apocalyptic number.

1802596241664 is the 1342608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1802596241664

1802596241664 is an abundant number, since it is smaller than the sum of its proper divisors (3473762691909).

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

1802596241664 is an frugal number, since it uses more digits than its factorization.

1802596241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1802596241664 in words is "one trillion, eight hundred two billion, five hundred ninety-six million, two hundred forty-one thousand, six hundred sixty-four".