6013497986496 has 2688 divisors, whose sum is σ = 25672676843520. Its totient is φ = 1354442342400.

The previous prime is 6013497986467. The next prime is 6013497986501. The reversal of 6013497986496 is 6946897943106.

6013497986496 is a `hidden beast` number, since 6 + 0 + 1 + 3 + 49 + 7 + 98 + 6 + 496 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13887985896 + ... + 13887986328.

It is an arithmetic number, because the mean of its divisors is an integer number (9550847040).

Almost surely, 2^{6013497986496} is an apocalyptic number.

6013497986496 is a gapful number since it is divisible by the number (66) 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 6013497986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12836338421760).

6013497986496 is an abundant number, since it is smaller than the sum of its proper divisors (19659178857024).

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

6013497986496 is a wasteful number, since it uses less digits than its factorization.

6013497986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 6013497986496 in words is "six trillion, thirteen billion, four hundred ninety-seven million, nine hundred eighty-six thousand, four hundred ninety-six".