248146349616 has 60 divisors (see below), whose sum is σ = 757598329800. Its totient is φ = 75195863040.

The previous prime is 248146349603. The next prime is 248146349621. The reversal of 248146349616 is 616943641842.

248146349616 is a `hidden beast` number, since 2 + 4 + 8 + 14 + 6 + 3 + 4 + 9 + 616 = 666.

248146349616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248146349616² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78327441 + ... + 78330608.

It is an arithmetic number, because the mean of its divisors is an integer number (12626638830).

Almost surely, 2^248146349616 is an apocalyptic number.

It is an amenable number.

248146349616 is an abundant number, since it is smaller than the sum of its proper divisors (509451980184).

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

248146349616 is a wasteful number, since it uses less digits than its factorization.

248146349616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156658074 (or 156658065 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 248146349616 in words is "two hundred forty-eight billion, one hundred forty-six million, three hundred forty-nine thousand, six hundred sixteen".