1496711682816 has 1152 divisors, whose sum is σ = 5086126080000. Its totient is φ = 389525520384.

The previous prime is 1496711682779. The next prime is 1496711682857. The reversal of 1496711682816 is 6182861176941.

It is a super-2 number, since 2×1496711682816² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1496711682816.

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 127 ways as a sum of consecutive naturals, for example, 18945717465 + ... + 18945717543.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040000).

Almost surely, 2^{1496711682816} is an apocalyptic number.

1496711682816 is a gapful number since it is divisible by the number (16) 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 1496711682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543063040000).

1496711682816 is an abundant number, since it is smaller than the sum of its proper divisors (3589414397184).

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

1496711682816 is an equidigital number, since it uses as much as digits as its factorization.

1496711682816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 60.

The spelling of 1496711682816 in words is "one trillion, four hundred ninety-six billion, seven hundred eleven million, six hundred eighty-two thousand, eight hundred sixteen".