48813246300 has 432 divisors, whose sum is σ = 178042354560. Its totient is φ = 10234344960.

The previous prime is 48813246269. The next prime is 48813246301. The reversal of 48813246300 is 364231884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48813246301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34206187 + ... + 34207613.

It is an arithmetic number, because the mean of its divisors is an integer number (412135080).

Almost surely, 2^48813246300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48813246300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89021177280).

48813246300 is an abundant number, since it is smaller than the sum of its proper divisors (129229108260).

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

48813246300 is a wasteful number, since it uses less digits than its factorization.

48813246300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 48813246300 in words is "forty-eight billion, eight hundred thirteen million, two hundred forty-six thousand, three hundred".