5191732998144 has 1248 divisors, whose sum is σ = 19279386048000. Its totient is φ = 1334376529920.

The previous prime is 5191732998119. The next prime is 5191732998169. The reversal of 5191732998144 is 4418992371915.

5191732998144 is a `hidden beast` number, since 5 + 191 + 7 + 329 + 9 + 81 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (5191732998119) and next prime (5191732998169).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22671323022 + ... + 22671323250.

It is an arithmetic number, because the mean of its divisors is an integer number (15448226000).

Almost surely, 2^{5191732998144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5191732998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639693024000).

5191732998144 is an abundant number, since it is smaller than the sum of its proper divisors (14087653049856).

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

5191732998144 is a wasteful number, since it uses less digits than its factorization.

5191732998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 415 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 5191732998144 in words is "five trillion, one hundred ninety-one billion, seven hundred thirty-two million, nine hundred ninety-eight thousand, one hundred forty-four".