1248475382496 has 72 divisors (see below), whose sum is σ = 3555042518664. Its totient is φ = 415608641280.

The previous prime is 1248475382491. The next prime is 1248475382509. The reversal of 1248475382496 is 6942835748421.

1248475382496 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 4 + 7 + 538 + 2 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248475382491) by changing a digit.

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, 2645250 + ... + 3081281.

It is an arithmetic number, because the mean of its divisors is an integer number (49375590537).

Almost surely, 2^{1248475382496} is an apocalyptic number.

1248475382496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1248475382496 is an abundant number, since it is smaller than the sum of its proper divisors (2306567136168).

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

1248475382496 is a wasteful number, since it uses less digits than its factorization.

1248475382496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727304 (or 5727293 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 1248475382496 in words is "one trillion, two hundred forty-eight billion, four hundred seventy-five million, three hundred eighty-two thousand, four hundred ninety-six".