6454698320448 has 504 divisors, whose sum is σ = 21802709760000. Its totient is φ = 1820282720256.

The previous prime is 6454698320353. The next prime is 6454698320479. The reversal of 6454698320448 is 8440238964546.

It is a happy number.

6454698320448 is a `hidden beast` number, since 6 + 4 + 54 + 69 + 83 + 2 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-4 number, since 4×6454698320448⁴ (a number of 52 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 713300628 + ... + 713309676.

Almost surely, 2^{6454698320448} 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 6454698320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901354880000).

6454698320448 is an abundant number, since it is smaller than the sum of its proper divisors (15348011439552).

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

6454698320448 is a wasteful number, since it uses less digits than its factorization.

6454698320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9407 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 6454698320448 in words is "six trillion, four hundred fifty-four billion, six hundred ninety-eight million, three hundred twenty thousand, four hundred forty-eight".