48004984945632 has 576 divisors, whose sum is σ = 153392586036480. Its totient is φ = 12959170560000.

The previous prime is 48004984945613. The next prime is 48004984945639. The reversal of 48004984945632 is 23654948940084.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48004984945639) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4999993632 + ... + 5000003232.

It is an arithmetic number, because the mean of its divisors is an integer number (266306572980).

Almost surely, 2^{48004984945632} 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 48004984945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76696293018240).

48004984945632 is an abundant number, since it is smaller than the sum of its proper divisors (105387601090848).

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

48004984945632 is a wasteful number, since it uses less digits than its factorization.

48004984945632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10079 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 66.

The spelling of 48004984945632 in words is "forty-eight trillion, four billion, nine hundred eighty-four million, nine hundred forty-five thousand, six hundred thirty-two".