248376401496 has 144 divisors (see below), whose sum is σ = 718224132600. Its totient is φ = 77327792640.

The previous prime is 248376401461. The next prime is 248376401501. The reversal of 248376401496 is 694104673842.

248376401496 is a `hidden beast` number, since 2 + 4 + 83 + 76 + 4 + 0 + 1 + 496 = 666.

248376401496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 6878080 + ... + 6914096.

Almost surely, 2^248376401496 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 248376401496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359112066300).

248376401496 is an abundant number, since it is smaller than the sum of its proper divisors (469847731104).

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

248376401496 is a wasteful number, since it uses less digits than its factorization.

248376401496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36190 (or 36112 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 248376401496 in words is "two hundred forty-eight billion, three hundred seventy-six million, four hundred one thousand, four hundred ninety-six".