5478049263456 has 1728 divisors, whose sum is σ = 22128907207680. Its totient is φ = 1264651960320.

The previous prime is 5478049263433. The next prime is 5478049263481. The reversal of 5478049263456 is 6543629408745.

5478049263456 is a `hidden beast` number, since 5 + 4 + 7 + 80 + 49 + 2 + 63 + 456 = 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 = 5478049263393 and 5478049263402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3596879911 + ... + 3596881433.

It is an arithmetic number, because the mean of its divisors is an integer number (12806080560).

Almost surely, 2^{5478049263456} is an apocalyptic number.

5478049263456 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 5478049263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064453603840).

5478049263456 is an abundant number, since it is smaller than the sum of its proper divisors (16650857944224).

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

5478049263456 is a wasteful number, since it uses less digits than its factorization.

5478049263456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 5478049263456 in words is "five trillion, four hundred seventy-eight billion, forty-nine million, two hundred sixty-three thousand, four hundred fifty-six".