248618672640 has 480 divisors, whose sum is σ = 931245771456. Its totient is φ = 60936192000.

The previous prime is 248618672639. The next prime is 248618672693. The reversal of 248618672640 is 46276816842.

It is a happy number.

248618672640 is a `hidden beast` number, since 248 + 61 + 86 + 7 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×248618672640² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75177867 + ... + 75181173.

Almost surely, 2^248618672640 is an apocalyptic number.

248618672640 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 248618672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465622885728).

248618672640 is an abundant number, since it is smaller than the sum of its proper divisors (682627098816).

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

248618672640 is a wasteful number, since it uses less digits than its factorization.

248618672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 248618672640 in words is "two hundred forty-eight billion, six hundred eighteen million, six hundred seventy-two thousand, six hundred forty".