5146837636752 has 1600 divisors, whose sum is σ = 19600745472000. Its totient is φ = 1269622480896.

The previous prime is 5146837636711. The next prime is 5146837636769. The reversal of 5146837636752 is 2576367386415.

5146837636752 is a `hidden beast` number, since 5 + 1 + 468 + 3 + 7 + 63 + 67 + 52 = 666.

It is a super-2 number, since 2×5146837636752² (a number of 26 digits) contains 22 as substring.

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

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

Its product of digits (152409600) is a multiple of the sum of its prime divisors (675).

It is a self number, because there is not a number n which added to its sum of digits gives 5146837636752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10232281333 + ... + 10232281835.

It is an arithmetic number, because the mean of its divisors is an integer number (12250465920).

Almost surely, 2^{5146837636752} 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 5146837636752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9800372736000).

5146837636752 is an abundant number, since it is smaller than the sum of its proper divisors (14453907835248).

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

5146837636752 is a wasteful number, since it uses less digits than its factorization.

5146837636752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 675 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 5146837636752 in words is "five trillion, one hundred forty-six billion, eight hundred thirty-seven million, six hundred thirty-six thousand, seven hundred fifty-two".