6493111812096 has 1024 divisors, whose sum is σ = 22091162741760. Its totient is φ = 1651129712640.

The previous prime is 6493111812091. The next prime is 6493111812181. The reversal of 6493111812096 is 6902181113946.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493111812091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39835041711 + ... + 39835041873.

It is an arithmetic number, because the mean of its divisors is an integer number (21573401115).

Almost surely, 2^{6493111812096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6493111812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11045581370880).

6493111812096 is an abundant number, since it is smaller than the sum of its proper divisors (15598050929664).

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

6493111812096 is a wasteful number, since it uses less digits than its factorization.

6493111812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 6493111812096 in words is "six trillion, four hundred ninety-three billion, one hundred eleven million, eight hundred twelve thousand, ninety-six".