1496963315952 has 480 divisors, whose sum is σ = 4866368532480. Its totient is φ = 442310077440.

The previous prime is 1496963315933. The next prime is 1496963315957. The reversal of 1496963315952 is 2595133696941.

1496963315952 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 9 + 6 + 3 + 31 + 595 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1496963315952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1496963315957) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 279960543 + ... + 279965889.

It is an arithmetic number, because the mean of its divisors is an integer number (10138267776).

Almost surely, 2^{1496963315952} is an apocalyptic number.

1496963315952 is a gapful number since it is divisible by the number (12) 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 1496963315952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433184266240).

1496963315952 is an abundant number, since it is smaller than the sum of its proper divisors (3369405216528).

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

1496963315952 is a wasteful number, since it uses less digits than its factorization.

1496963315952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5585 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 63.

The spelling of 1496963315952 in words is "one trillion, four hundred ninety-six billion, nine hundred sixty-three million, three hundred fifteen thousand, nine hundred fifty-two".