248646233088 has 528 divisors, whose sum is σ = 819820552320. Its totient is φ = 73825689600.

The previous prime is 248646233081. The next prime is 248646233107. The reversal of 248646233088 is 880332646842.

248646233088 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 4 + 623 + 3 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (248646233081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1898062783 + ... + 1898062913.

It is an arithmetic number, because the mean of its divisors is an integer number (1552690440).

Almost surely, 2^248646233088 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 248646233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409910276160).

248646233088 is an abundant number, since it is smaller than the sum of its proper divisors (571174319232).

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

248646233088 is a wasteful number, since it uses less digits than its factorization.

248646233088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 248646233088 in words is "two hundred forty-eight billion, six hundred forty-six million, two hundred thirty-three thousand, eighty-eight".