6455038954368 has 128 divisors (see below), whose sum is σ = 17358292304640. Its totient is φ = 2125154304000.

The previous prime is 6455038954339. The next prime is 6455038954369. The reversal of 6455038954368 is 8634598305546.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6455038954299 and 6455038954308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6455038954369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18112293 + ... + 18465243.

It is an arithmetic number, because the mean of its divisors is an integer number (135611658630).

Almost surely, 2^{6455038954368} 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 6455038954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679146152320).

6455038954368 is an abundant number, since it is smaller than the sum of its proper divisors (10903253350272).

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

6455038954368 is a wasteful number, since it uses less digits than its factorization.

6455038954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353556 (or 353544 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 66.

The spelling of 6455038954368 in words is "six trillion, four hundred fifty-five billion, thirty-eight million, nine hundred fifty-four thousand, three hundred sixty-eight".