272445659136 has 672 divisors, whose sum is σ = 945296352000. Its totient is φ = 76859228160.

The previous prime is 272445659113. The next prime is 272445659147. The reversal of 272445659136 is 631956544272.

It is a happy number.

272445659136 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 45 + 6 + 591 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1369073565 + ... + 1369073763.

It is an arithmetic number, because the mean of its divisors is an integer number (1406691000).

Almost surely, 2^272445659136 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 272445659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472648176000).

272445659136 is an abundant number, since it is smaller than the sum of its proper divisors (672850692864).

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

272445659136 is an equidigital number, since it uses as much as digits as its factorization.

272445659136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 342 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 272445659136 in words is "two hundred seventy-two billion, four hundred forty-five million, six hundred fifty-nine thousand, one hundred thirty-six".