5164458096 has 240 divisors, whose sum is σ = 16459958400. Its totient is φ = 1387362816.

The previous prime is 5164458053. The next prime is 5164458109. The reversal of 5164458096 is 6908544615.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7283790 + ... + 7284498.

It is an arithmetic number, because the mean of its divisors is an integer number (68583160).

Almost surely, 2^5164458096 is an apocalyptic number.

5164458096 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 5164458096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229979200).

5164458096 is an abundant number, since it is smaller than the sum of its proper divisors (11295500304).

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

5164458096 is a wasteful number, since it uses less digits than its factorization.

5164458096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5164458096 is about 71864.1641988551. The cubic root of 5164458096 is about 1728.5220312781.

The spelling of 5164458096 in words is "five billion, one hundred sixty-four million, four hundred fifty-eight thousand, ninety-six".