5154619465296 has 320 divisors, whose sum is σ = 17170601011200. Its totient is φ = 1450062756864.

The previous prime is 5154619465271. The next prime is 5154619465297. The reversal of 5154619465296 is 6925649164515.

It is a happy number.

5154619465296 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 61 + 9 + 46 + 529 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5154619465297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129561535 + ... + 129601313.

It is an arithmetic number, because the mean of its divisors is an integer number (53658128160).

Almost surely, 2^{5154619465296} is an apocalyptic number.

5154619465296 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 5154619465296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585300505600).

5154619465296 is an abundant number, since it is smaller than the sum of its proper divisors (12015981545904).

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

5154619465296 is a wasteful number, since it uses less digits than its factorization.

5154619465296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40463 (or 40451 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 5154619465296 in words is "five trillion, one hundred fifty-four billion, six hundred nineteen million, four hundred sixty-five thousand, two hundred ninety-six".