1496864918016 has 960 divisors, whose sum is σ = 5078905286400. Its totient is φ = 434207195136.

The previous prime is 1496864917981. The next prime is 1496864918057. The reversal of 1496864918016 is 6108194686941.

1496864918016 is a `hidden beast` number, since 1 + 4 + 9 + 68 + 6 + 491 + 80 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4782315876 + ... + 4782316188.

It is an arithmetic number, because the mean of its divisors is an integer number (5290526340).

Almost surely, 2^{1496864918016} is an apocalyptic number.

1496864918016 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 1496864918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539452643200).

1496864918016 is an abundant number, since it is smaller than the sum of its proper divisors (3582040368384).

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

1496864918016 is a wasteful number, since it uses less digits than its factorization.

1496864918016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 1496864918016 in words is "one trillion, four hundred ninety-six billion, eight hundred sixty-four million, nine hundred eighteen thousand, sixteen".