248396101632 has 768 divisors, whose sum is σ = 880253337600. Its totient is φ = 67722117120.

The previous prime is 248396101559. The next prime is 248396101637. The reversal of 248396101632 is 236101693842.

248396101632 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 9 + 6 + 1 + 0 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248396101637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1523902383 + ... + 1523902545.

It is an arithmetic number, because the mean of its divisors is an integer number (1146163200).

Almost surely, 2^248396101632 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 248396101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440126668800).

248396101632 is an abundant number, since it is smaller than the sum of its proper divisors (631857235968).

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

248396101632 is a wasteful number, since it uses less digits than its factorization.

248396101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 248396101632 in words is "two hundred forty-eight billion, three hundred ninety-six million, one hundred one thousand, six hundred thirty-two".