48134731680 has 384 divisors, whose sum is σ = 198753730560. Its totient is φ = 10647106560.

The previous prime is 48134731663. The next prime is 48134731693. The reversal of 48134731680 is 8613743184.

48134731680 is a `hidden beast` number, since 4 + 8 + 13 + 473 + 168 + 0 = 666.

48134731680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911767 + ... + 963113.

It is an arithmetic number, because the mean of its divisors is an integer number (517587840).

Almost surely, 2^48134731680 is an apocalyptic number.

48134731680 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 48134731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99376865280).

48134731680 is an abundant number, since it is smaller than the sum of its proper divisors (150618998880).

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

48134731680 is a wasteful number, since it uses less digits than its factorization.

48134731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51409 (or 51395 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48134731680 in words is "forty-eight billion, one hundred thirty-four million, seven hundred thirty-one thousand, six hundred eighty".