48134080512 has 144 divisors (see below), whose sum is σ = 158880496320. Its totient is φ = 13752557568.

The previous prime is 48134080481. The next prime is 48134080513. The reversal of 48134080512 is 21508043184.

48134080512 is a `hidden beast` number, since 4 + 8 + 134 + 0 + 8 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×48134080512³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48134080513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57508 + ... + 315555.

It is an arithmetic number, because the mean of its divisors is an integer number (1103336780).

Almost surely, 2^48134080512 is an apocalyptic number.

48134080512 is a gapful number since it is divisible by the number (42) 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 48134080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79440248160).

48134080512 is an abundant number, since it is smaller than the sum of its proper divisors (110746415808).

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

48134080512 is a wasteful number, since it uses less digits than its factorization.

48134080512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373098 (or 373075 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 48134080512 in words is "forty-eight billion, one hundred thirty-four million, eighty thousand, five hundred twelve".