5110148736 has 640 divisors, whose sum is σ = 19585272960. Its totient is φ = 1283973120.

The previous prime is 5110148723. The next prime is 5110148741. The reversal of 5110148736 is 6378410115.

It is a super-3 number, since 3×5110148736³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5110148736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29538346 + ... + 29538518.

It is an arithmetic number, because the mean of its divisors is an integer number (30601989).

Almost surely, 2^5110148736 is an apocalyptic number.

5110148736 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 5110148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792636480).

5110148736 is an abundant number, since it is smaller than the sum of its proper divisors (14475124224).

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

5110148736 is a wasteful number, since it uses less digits than its factorization.

5110148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5110148736 is about 71485.3043359263. The cubic root of 5110148736 is about 1722.4416305880.

The spelling of 5110148736 in words is "five billion, one hundred ten million, one hundred forty-eight thousand, seven hundred thirty-six".