5145940789248 has 384 divisors, whose sum is σ = 16261723296000. Its totient is φ = 1415892172800.

The previous prime is 5145940789207. The next prime is 5145940789351. The reversal of 5145940789248 is 8429870495415.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500134888 + ... + 500145176.

It is an arithmetic number, because the mean of its divisors is an integer number (42348237750).

Almost surely, 2^{5145940789248} is an apocalyptic number.

5145940789248 is a gapful number since it is divisible by the number (58) 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 5145940789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130861648000).

5145940789248 is an abundant number, since it is smaller than the sum of its proper divisors (11115782506752).

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

5145940789248 is a wasteful number, since it uses less digits than its factorization.

5145940789248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751 (or 10731 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 5145940789248 in words is "five trillion, one hundred forty-five billion, nine hundred forty million, seven hundred eighty-nine thousand, two hundred forty-eight".