5319019648845 has 320 divisors, whose sum is σ = 11499728486400. Its totient is φ = 2348670038400.

The previous prime is 5319019648829. The next prime is 5319019648861. The reversal of 5319019648845 is 5488469109135.

5319019648845 is a `hidden beast` number, since 53 + 1 + 90 + 19 + 6 + 488 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5319019648829) and next prime (5319019648861).

It is not a de Polignac number, because 5319019648845 - 2⁴ = 5319019648829 is a prime.

It is a super-3 number, since 3×5319019648845³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3492461254 + ... + 3492462776.

It is an arithmetic number, because the mean of its divisors is an integer number (35936651520).

Almost surely, 2^{5319019648845} is an apocalyptic number.

It is an amenable number.

5319019648845 is an abundant number, since it is smaller than the sum of its proper divisors (6180708837555).

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

5319019648845 is a wasteful number, since it uses less digits than its factorization.

5319019648845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 5319019648845 in words is "five trillion, three hundred nineteen billion, nineteen million, six hundred forty-eight thousand, eight hundred forty-five".