10018971648 has 336 divisors, whose sum is σ = 34349253120. Its totient is φ = 2858582016.

The previous prime is 10018971617. The next prime is 10018971671. The reversal of 10018971648 is 84617981001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934233 + ... + 13934951.

It is an arithmetic number, because the mean of its divisors is an integer number (102229920).

Almost surely, 2^10018971648 is an apocalyptic number.

10018971648 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 10018971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174626560).

10018971648 is an abundant number, since it is smaller than the sum of its proper divisors (24330281472).

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

10018971648 is an frugal number, since it uses more digits than its factorization.

10018971648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10018971648 in words is "ten billion, eighteen million, nine hundred seventy-one thousand, six hundred forty-eight".