5165643477456 has 480 divisors, whose sum is σ = 19072453570560. Its totient is φ = 1265309337600.

The previous prime is 5165643477419. The next prime is 5165643477473. The reversal of 5165643477456 is 6547743465615.

5165643477456 is a `hidden beast` number, since 5 + 1 + 65 + 64 + 3 + 477 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5165643477393 and 5165643477402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17964060 + ... + 18249348.

It is an arithmetic number, because the mean of its divisors is an integer number (39734278272).

Almost surely, 2^{5165643477456} is an apocalyptic number.

5165643477456 is a gapful number since it is divisible by the number (56) 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 5165643477456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536226785280).

5165643477456 is an abundant number, since it is smaller than the sum of its proper divisors (13906810093104).

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

5165643477456 is a wasteful number, since it uses less digits than its factorization.

5165643477456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285415 (or 285406 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 63.

The spelling of 5165643477456 in words is "five trillion, one hundred sixty-five billion, six hundred forty-three million, four hundred seventy-seven thousand, four hundred fifty-six".