248291628300 has 216 divisors, whose sum is σ = 825316363872. Its totient is φ = 62219520000.

The previous prime is 248291628289. The next prime is 248291628329. The reversal of 248291628300 is 3826192842.

248291628300 is a `hidden beast` number, since 2 + 482 + 9 + 162 + 8 + 3 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 10101025 + ... + 10125575.

It is an arithmetic number, because the mean of its divisors is an integer number (3820909092).

Almost surely, 2^248291628300 is an apocalyptic number.

248291628300 is a gapful number since it is divisible by the number (20) 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 248291628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412658181936).

248291628300 is an abundant number, since it is smaller than the sum of its proper divisors (577024735572).

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

248291628300 is a wasteful number, since it uses less digits than its factorization.

248291628300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25249 (or 25239 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 248291628300 in words is "two hundred forty-eight billion, two hundred ninety-one million, six hundred twenty-eight thousand, three hundred".