48464906688000 has 2560 divisors, whose sum is σ = 215827117608960. Its totient is φ = 10575544320000.

The previous prime is 48464906687959. The next prime is 48464906688007. The reversal of 48464906688000 is 88660946484.

48464906688000 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 490 + 6 + 68 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48464906688007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7432124740 + ... + 7432131260.

It is an arithmetic number, because the mean of its divisors is an integer number (84307467816).

Almost surely, 2^{48464906688000} is an apocalyptic number.

48464906688000 is a gapful number since it is divisible by the number (40) 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 48464906688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107913558804480).

48464906688000 is an abundant number, since it is smaller than the sum of its proper divisors (167362210920960).

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

48464906688000 is a wasteful number, since it uses less digits than its factorization.

48464906688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 48464906688000 in words is "forty-eight trillion, four hundred sixty-four billion, nine hundred six million, six hundred eighty-eight thousand".