5344475406336 has 896 divisors, whose sum is σ = 17890298910720. Its totient is φ = 1582332641280.

The previous prime is 5344475406307. The next prime is 5344475406337. The reversal of 5344475406336 is 6336045744435.

It is a happy number.

5344475406336 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 4 + 7 + 540 + 63 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5344475406337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9262522080 + ... + 9262522656.

Almost surely, 2^{5344475406336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5344475406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945149455360).

5344475406336 is an abundant number, since it is smaller than the sum of its proper divisors (12545823504384).

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

5344475406336 is an frugal number, since it uses more digits than its factorization.

5344475406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 54.

The spelling of 5344475406336 in words is "five trillion, three hundred forty-four billion, four hundred seventy-five million, four hundred six thousand, three hundred thirty-six".