648587011801 has 27 divisors (see below), whose sum is σ = 680530067487. Its totient is φ = 618121464480.

The previous prime is 648587011799. The next prime is 648587011811. The reversal of 648587011801 is 108110785846.

The square root of 648587011801 is 805349.

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

It can be written as a sum of positive squares in only one way, i.e., 4137705625 + 644449306176 = 64325^2 + 802776^2 .

It is not a de Polignac number, because 648587011801 - 2¹ = 648587011799 is a prime.

It is a super-2 number, since 2×648587011801² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (648587011811) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2072162821 + ... + 2072163133.

Almost surely, 2^648587011801 is an apocalyptic number.

648587011801 is the 805349-th square number.

648587011801 is the 402675-th centered octagonal number.

It is an amenable number.

648587011801 is a deficient number, since it is larger than the sum of its proper divisors (31943055686).

648587011801 is an frugal number, since it uses more digits than its factorization.

648587011801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 49.

Multiplying 648587011801 by its sum of digits (49), we get a square (31780763578249 = 5637443²).

The spelling of 648587011801 in words is "six hundred forty-eight billion, five hundred eighty-seven million, eleven thousand, eight hundred one".