6455135344896 has 432 divisors, whose sum is σ = 22542571228800. Its totient is φ = 1784817192960.

The previous prime is 6455135344891. The next prime is 6455135344943. The reversal of 6455135344896 is 6984435315546.

6455135344896 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 1 + 3 + 534 + 4 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (6455135344891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46427610 + ... + 46566438.

Almost surely, 2^{6455135344896} 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 6455135344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11271285614400).

6455135344896 is an abundant number, since it is smaller than the sum of its proper divisors (16087435883904).

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

6455135344896 is a wasteful number, since it uses less digits than its factorization.

6455135344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138923 (or 138872 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 6455135344896 in words is "six trillion, four hundred fifty-five billion, one hundred thirty-five million, three hundred forty-four thousand, eight hundred ninety-six".