48588488312832 has 384 divisors, whose sum is σ = 155389800384000. Its totient is φ = 14912933068800.

The previous prime is 48588488312809. The next prime is 48588488312839. The reversal of 48588488312832 is 23821388488584.

48588488312832 is a `hidden beast` number, since 4 + 8 + 5 + 88 + 488 + 31 + 2 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48588488312839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288173769 + ... + 288342327.

It is an arithmetic number, because the mean of its divisors is an integer number (404660938500).

Almost surely, 2^{48588488312832} 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 48588488312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77694900192000).

48588488312832 is an abundant number, since it is smaller than the sum of its proper divisors (106801312071168).

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

48588488312832 is a wasteful number, since it uses less digits than its factorization.

48588488312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169004 (or 168978 counting only the distinct ones).

The product of its digits is 754974720, while the sum is 72.

The spelling of 48588488312832 in words is "forty-eight trillion, five hundred eighty-eight billion, four hundred eighty-eight million, three hundred twelve thousand, eight hundred thirty-two".