6454945056 has 96 divisors (see below), whose sum is σ = 19391944320. Its totient is φ = 1841688576.

The previous prime is 6454945039. The next prime is 6454945061. The reversal of 6454945056 is 6505494546.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6454944996 and 6454945014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502360 + ... + 515048.

It is an arithmetic number, because the mean of its divisors is an integer number (201999420).

Almost surely, 2^6454945056 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 6454945056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695972160).

6454945056 is an abundant number, since it is smaller than the sum of its proper divisors (12936999264).

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

6454945056 is a wasteful number, since it uses less digits than its factorization.

6454945056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13466 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The square root of 6454945056 is about 80342.6726963947. The cubic root of 6454945056 is about 1861.9335748602.

It can be divided in two parts, 6454 and 945056, that added together give a triangular number (951510 = T₁₃₇₉).

The spelling of 6454945056 in words is "six billion, four hundred fifty-four million, nine hundred forty-five thousand, fifty-six".