2448952606464 has 576 divisors, whose sum is σ = 8196080256000. Its totient is φ = 631957487616.

The previous prime is 2448952606447. The next prime is 2448952606481. The reversal of 2448952606464 is 4646062598442.

It is an interprime number because it is at equal distance from previous prime (2448952606447) and next prime (2448952606481).

It is a junction number, because it is equal to n+sod(n) for n = 2448952606398 and 2448952606407.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 960749062 + ... + 960751610.

It is an arithmetic number, because the mean of its divisors is an integer number (14229306000).

Almost surely, 2^{2448952606464} is an apocalyptic number.

2448952606464 is a gapful number since it is divisible by the number (24) 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 2448952606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098040128000).

2448952606464 is an abundant number, since it is smaller than the sum of its proper divisors (5747127649536).

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

2448952606464 is a wasteful number, since it uses less digits than its factorization.

2448952606464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 60.

The spelling of 2448952606464 in words is "two trillion, four hundred forty-eight billion, nine hundred fifty-two million, six hundred six thousand, four hundred sixty-four".