5145201648 has 200 divisors, whose sum is σ = 15553746560. Its totient is φ = 1640424960.

The previous prime is 5145201617. The next prime is 5145201689. The reversal of 5145201648 is 8461025415.

It is a happy number.

5145201648 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 2 + 0 + 1 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2924193 + ... + 2925951.

Almost surely, 2^5145201648 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 5145201648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776873280).

5145201648 is an abundant number, since it is smaller than the sum of its proper divisors (10408544912).

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

5145201648 is a wasteful number, since it uses less digits than its factorization.

5145201648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5145201648 is about 71730.0609786441. The cubic root of 5145201648 is about 1726.3710053300.

The spelling of 5145201648 in words is "five billion, one hundred forty-five million, two hundred one thousand, six hundred forty-eight".