75249456048 has 120 divisors (see below), whose sum is σ = 234109599360. Its totient is φ = 22406768640.

The previous prime is 75249455969. The next prime is 75249456059. The reversal of 75249456048 is 84065494257.

75249456048 is a `hidden beast` number, since 7 + 5 + 24 + 9 + 4 + 5 + 604 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 75249455985 and 75249456003.

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 23 ways as a sum of consecutive naturals, for example, 590313 + ... + 706376.

It is an arithmetic number, because the mean of its divisors is an integer number (1950913328).

Almost surely, 2^75249456048 is an apocalyptic number.

75249456048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

75249456048 is an abundant number, since it is smaller than the sum of its proper divisors (158860143312).

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

75249456048 is a wasteful number, since it uses less digits than its factorization.

75249456048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296747 (or 1296738 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 75249456048 in words is "seventy-five billion, two hundred forty-nine million, four hundred fifty-six thousand, forty-eight".