48135746232 has 480 divisors, whose sum is σ = 167506059600. Its totient is φ = 12838984704.

The previous prime is 48135746227. The next prime is 48135746249. The reversal of 48135746232 is 23264753184.

48135746232 is a `hidden beast` number, since 4 + 8 + 13 + 5 + 7 + 4 + 623 + 2 = 666.

48135746232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44039478 + ... + 44040570.

Almost surely, 2^48135746232 is an apocalyptic number.

48135746232 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 48135746232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83753029800).

48135746232 is an abundant number, since it is smaller than the sum of its proper divisors (119370313368).

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

48135746232 is a wasteful number, since it uses less digits than its factorization.

48135746232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1197 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 48135746232 in words is "forty-eight billion, one hundred thirty-five million, seven hundred forty-six thousand, two hundred thirty-two".