5638168971648 has 256 divisors, whose sum is σ = 17962689600000. Its totient is φ = 1735687489536.

The previous prime is 5638168971599. The next prime is 5638168971653. The reversal of 5638168971648 is 8461798618365.

5638168971648 is a `hidden beast` number, since 5 + 6 + 381 + 6 + 89 + 7 + 164 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1082203 + ... + 3528101.

It is an arithmetic number, because the mean of its divisors is an integer number (70166756250).

Almost surely, 2^{5638168971648} is an apocalyptic number.

5638168971648 is a gapful number since it is divisible by the number (58) 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 5638168971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981344800000).

5638168971648 is an abundant number, since it is smaller than the sum of its proper divisors (12324520628352).

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

5638168971648 is a wasteful number, since it uses less digits than its factorization.

5638168971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445974 (or 2445956 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 5638168971648 in words is "five trillion, six hundred thirty-eight billion, one hundred sixty-eight million, nine hundred seventy-one thousand, six hundred forty-eight".