5146887723264 has 720 divisors, whose sum is σ = 17905481991936. Its totient is φ = 1440140083200.

The previous prime is 5146887723259. The next prime is 5146887723281. The reversal of 5146887723264 is 4623277886415.

5146887723264 is a `hidden beast` number, since 5 + 1 + 468 + 87 + 7 + 2 + 32 + 64 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1618007754 + ... + 1618010934.

Almost surely, 2^{5146887723264} is an apocalyptic number.

5146887723264 is a gapful number since it is divisible by the number (54) 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 5146887723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952740995968).

5146887723264 is an abundant number, since it is smaller than the sum of its proper divisors (12758594268672).

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

5146887723264 is a wasteful number, since it uses less digits than its factorization.

5146887723264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3421 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 5146887723264 in words is "five trillion, one hundred forty-six billion, eight hundred eighty-seven million, seven hundred twenty-three thousand, two hundred sixty-four".