1253616445456 has 20 divisors (see below), whose sum is σ = 2507232891904. Its totient is φ = 606588602400.

The previous prime is 1253616445441. The next prime is 1253616445489. The reversal of 1253616445456 is 6545446163521.

1253616445456 is an admirable 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 3 ways as a sum of consecutive naturals, for example, 1263725760 + ... + 1263726751.

Almost surely, 2^{1253616445456} is an apocalyptic number.

1253616445456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1253616445456 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1253616445456 is a wasteful number, since it uses less digits than its factorization.

1253616445456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527452550 (or 2527452544 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 52.

The spelling of 1253616445456 in words is "one trillion, two hundred fifty-three billion, six hundred sixteen million, four hundred forty-five thousand, four hundred fifty-six".