1316867642496 has 320 divisors, whose sum is σ = 4506348559680. Its totient is φ = 373936269312.

The previous prime is 1316867642407. The next prime is 1316867642507. The reversal of 1316867642496 is 6942467686131.

1316867642496 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 86 + 7 + 64 + 2 + 496 = 666.

It is a super-2 number, since 2×1316867642496² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11774230 + ... + 11885546.

It is an arithmetic number, because the mean of its divisors is an integer number (14082339249).

Almost surely, 2^{1316867642496} is an apocalyptic number.

1316867642496 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 1316867642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253174279840).

1316867642496 is an abundant number, since it is smaller than the sum of its proper divisors (3189480917184).

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

1316867642496 is a wasteful number, since it uses less digits than its factorization.

1316867642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111513 (or 111492 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 1316867642496 in words is "one trillion, three hundred sixteen billion, eight hundred sixty-seven million, six hundred forty-two thousand, four hundred ninety-six".