10162287648 has 192 divisors, whose sum is σ = 30808512000. Its totient is φ = 3255017472.

The previous prime is 10162287613. The next prime is 10162287719. The reversal of 10162287648 is 84678226101.

10162287648 is a `hidden beast` number, since 10 + 1 + 622 + 8 + 7 + 6 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5987536 + ... + 5989232.

It is an arithmetic number, because the mean of its divisors is an integer number (160461000).

Almost surely, 2^10162287648 is an apocalyptic number.

10162287648 is a gapful number since it is divisible by the number (18) 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 10162287648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404256000).

10162287648 is an abundant number, since it is smaller than the sum of its proper divisors (20646224352).

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

10162287648 is a wasteful number, since it uses less digits than its factorization.

10162287648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10162287648 in words is "ten billion, one hundred sixty-two million, two hundred eighty-seven thousand, six hundred forty-eight".