48133398528 has 420 divisors, whose sum is σ = 153361983852. Its totient is φ = 15040512000.

The previous prime is 48133398493. The next prime is 48133398541. The reversal of 48133398528 is 82589333184.

48133398528 is a `hidden beast` number, since 4 + 81 + 3 + 3 + 39 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 191766403 + ... + 191766653.

Almost surely, 2^48133398528 is an apocalyptic number.

48133398528 is a gapful number since it is divisible by the number (48) 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 48133398528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76680991926).

48133398528 is an abundant number, since it is smaller than the sum of its proper divisors (105228585324).

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

48133398528 is an equidigital number, since it uses as much as digits as its factorization.

48133398528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 273 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 48133398528 in words is "forty-eight billion, one hundred thirty-three million, three hundred ninety-eight thousand, five hundred twenty-eight".