648105502500 has 225 divisors, whose sum is σ = 2118351142677. Its totient is φ = 172731528000.

The previous prime is 648105502493. The next prime is 648105502543. The reversal of 648105502500 is 5205501846.

The square root of 648105502500 is 805050.

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

648105502500 is a `hidden beast` number, since 6 + 4 + 81 + 0 + 550 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 160443506916 + 487661995584 = 400554^2 + 698328^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 362271606 + ... + 362273394.

Almost surely, 2^648105502500 is an apocalyptic number.

648105502500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

648105502500 is the 805050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648105502500

648105502500 is an abundant number, since it is smaller than the sum of its proper divisors (1470245640177).

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

648105502500 is an frugal number, since it uses more digits than its factorization.

648105502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 648105502500 by its sum of digits (36), we get a square (23331798090000 = 4830300²).

648105502500 divided by its sum of digits (36) gives a square (18002930625 = 134175²).

The spelling of 648105502500 in words is "six hundred forty-eight billion, one hundred five million, five hundred two thousand, five hundred".