48601295232 has 192 divisors, whose sum is σ = 150523064640. Its totient is φ = 13853844480.

The previous prime is 48601295231. The next prime is 48601295261. The reversal of 48601295232 is 23259210684.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48601295231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8784307 + ... + 8789837.

It is an arithmetic number, because the mean of its divisors is an integer number (783974295).

Almost surely, 2^48601295232 is an apocalyptic number.

48601295232 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 48601295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75261532320).

48601295232 is an abundant number, since it is smaller than the sum of its proper divisors (101921769408).

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

48601295232 is a wasteful number, since it uses less digits than its factorization.

48601295232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 48601295232 in words is "forty-eight billion, six hundred one million, two hundred ninety-five thousand, two hundred thirty-two".