1253645067348 has 72 divisors (see below), whose sum is σ = 3369106960128. Its totient is φ = 392171153088.

The previous prime is 1253645067293. The next prime is 1253645067361. The reversal of 1253645067348 is 8437605463521.

1253645067348 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 64 + 506 + 73 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1253645067294 and 1253645067303.

It is a congruent number.

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, 14239740 + ... + 14327507.

It is an arithmetic number, because the mean of its divisors is an integer number (46793152224).

Almost surely, 2^{1253645067348} is an apocalyptic number.

1253645067348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1253645067348 is an abundant number, since it is smaller than the sum of its proper divisors (2115461892780).

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

1253645067348 is a wasteful number, since it uses less digits than its factorization.

1253645067348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28567333 (or 28567328 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 1253645067348 in words is "one trillion, two hundred fifty-three billion, six hundred forty-five million, sixty-seven thousand, three hundred forty-eight".