6454313469504 has 336 divisors, whose sum is σ = 19220559496320. Its totient is φ = 2069330042880.

The previous prime is 6454313469493. The next prime is 6454313469563. The reversal of 6454313469504 is 4059643134546.

6454313469504 is a `hidden beast` number, since 6 + 4 + 5 + 43 + 1 + 34 + 69 + 504 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557024799 + ... + 557036385.

It is an arithmetic number, because the mean of its divisors is an integer number (57204046120).

Almost surely, 2^{6454313469504} is an apocalyptic number.

6454313469504 is a gapful number since it is divisible by the number (64) 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 6454313469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610279748160).

6454313469504 is an abundant number, since it is smaller than the sum of its proper divisors (12766246026816).

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

6454313469504 is a wasteful number, since it uses less digits than its factorization.

6454313469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 6454313469504 in words is "six trillion, four hundred fifty-four billion, three hundred thirteen million, four hundred sixty-nine thousand, five hundred four".