8148274237764 has 192 divisors, whose sum is σ = 22435053580800. Its totient is φ = 2585491695360.

The previous prime is 8148274237723. The next prime is 8148274237787. The reversal of 8148274237764 is 4677324728418.

8148274237764 is a `hidden beast` number, since 8 + 1 + 4 + 82 + 7 + 423 + 77 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17785944 + ... + 18238320.

It is an arithmetic number, because the mean of its divisors is an integer number (116849237400).

Almost surely, 2^{8148274237764} 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 8148274237764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217526790400).

8148274237764 is an abundant number, since it is smaller than the sum of its proper divisors (14286779343036).

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

8148274237764 is a wasteful number, since it uses less digits than its factorization.

8148274237764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452502 (or 452482 counting only the distinct ones).

The product of its digits is 101154816, while the sum is 63.

The spelling of 8148274237764 in words is "eight trillion, one hundred forty-eight billion, two hundred seventy-four million, two hundred thirty-seven thousand, seven hundred sixty-four".