48478593313152 has 576 divisors, whose sum is σ = 146635504470000. Its totient is φ = 15354137788416.

The previous prime is 48478593313097. The next prime is 48478593313153. The reversal of 48478593313152 is 25131339587484.

48478593313152 is a `hidden beast` number, since 4 + 8 + 4 + 7 + 8 + 593 + 3 + 1 + 31 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48478593313152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48478593313153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180217818874 + ... + 180217819142.

Almost surely, 2^{48478593313152} 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 48478593313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73317752235000).

48478593313152 is an abundant number, since it is smaller than the sum of its proper divisors (98156911156848).

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

48478593313152 is a wasteful number, since it uses less digits than its factorization.

48478593313152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 639 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 48478593313152 in words is "forty-eight trillion, four hundred seventy-eight billion, five hundred ninety-three million, three hundred thirteen thousand, one hundred fifty-two".