248246140032 has 576 divisors, whose sum is σ = 814915046400. Its totient is φ = 72425041920.

The previous prime is 248246140019. The next prime is 248246140147. The reversal of 248246140032 is 230041642842.

248246140032 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 4 + 614 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×248246140032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 655002819 + ... + 655003197.

Almost surely, 2^248246140032 is an apocalyptic number.

248246140032 is a gapful number since it is divisible by the number (22) 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 248246140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407457523200).

248246140032 is an abundant number, since it is smaller than the sum of its proper divisors (566668906368).

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

248246140032 is a wasteful number, since it uses less digits than its factorization.

248246140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 248246140032 its reverse (230041642842), we get a palindrome (478287782874).

The spelling of 248246140032 in words is "two hundred forty-eight billion, two hundred forty-six million, one hundred forty thousand, thirty-two".