48888289914464 has 2304 divisors, whose sum is σ = 148115794821120. Its totient is φ = 15557971968000.

The previous prime is 48888289914463. The next prime is 48888289914479. The reversal of 48888289914464 is 46441998288884.

48888289914464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48888289914463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 669702601532 + ... + 669702601604.

It is an arithmetic number, because the mean of its divisors is an integer number (64286369280).

Almost surely, 2^{48888289914464} is an apocalyptic number.

48888289914464 is a gapful number since it is divisible by the number (44) 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 48888289914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74057897410560).

48888289914464 is an abundant number, since it is smaller than the sum of its proper divisors (99227504906656).

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

48888289914464 is a wasteful number, since it uses less digits than its factorization.

48888289914464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its digits is 8153726976, while the sum is 83.

The spelling of 48888289914464 in words is "forty-eight trillion, eight hundred eighty-eight billion, two hundred eighty-nine million, nine hundred fourteen thousand, four hundred sixty-four".