2523198171648 has 640 divisors, whose sum is σ = 8714962206720. Its totient is φ = 629544960000.

The previous prime is 2523198171629. The next prime is 2523198171667. The reversal of 2523198171648 is 8461718913252.

It is an interprime number because it is at equal distance from previous prime (2523198171629) and next prime (2523198171667).

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 63 ways as a sum of consecutive naturals, for example, 509631573 + ... + 509636523.

It is an arithmetic number, because the mean of its divisors is an integer number (13617128448).

Almost surely, 2^{2523198171648} is an apocalyptic number.

2523198171648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523198171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357481103360).

2523198171648 is an abundant number, since it is smaller than the sum of its proper divisors (6191764035072).

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

2523198171648 is a wasteful number, since it uses less digits than its factorization.

2523198171648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5144 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The spelling of 2523198171648 in words is "two trillion, five hundred twenty-three billion, one hundred ninety-eight million, one hundred seventy-one thousand, six hundred forty-eight".