5459187456 has 216 divisors, whose sum is σ = 16475490304. Its totient is φ = 1802787840.

The previous prime is 5459187443. The next prime is 5459187457. The reversal of 5459187456 is 6547819545.

It is a happy number.

5459187456 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 187 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (5459187457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7900071 + ... + 7900761.

Almost surely, 2^5459187456 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 5459187456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237745152).

5459187456 is an abundant number, since it is smaller than the sum of its proper divisors (11016302848).

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

5459187456 is an equidigital number, since it uses as much as digits as its factorization.

5459187456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 823 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 5459187456 is about 73886.3144026010. The cubic root of 5459187456 is about 1760.7971870712.

The spelling of 5459187456 in words is "five billion, four hundred fifty-nine million, one hundred eighty-seven thousand, four hundred fifty-six".