5149748409984 has 192 divisors, whose sum is σ = 15422116513440. Its totient is φ = 1710514215936.

The previous prime is 5149748409977. The next prime is 5149748410021. The reversal of 5149748409984 is 4899048479415.

5149748409984 is a `hidden beast` number, since 5 + 1 + 4 + 97 + 48 + 409 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5149748409984² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8509914 + ... + 9094950.

Almost surely, 2^{5149748409984} is an apocalyptic number.

5149748409984 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 5149748409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711058256720).

5149748409984 is an abundant number, since it is smaller than the sum of its proper divisors (10272368103456).

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

5149748409984 is an equidigital number, since it uses as much as digits as its factorization.

5149748409984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585349 (or 585325 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 5149748409984 in words is "five trillion, one hundred forty-nine billion, seven hundred forty-eight million, four hundred nine thousand, nine hundred eighty-four".