273144211554816 has 5760 divisors, whose sum is σ = 1142860072273920. Its totient is φ = 64363100110848.

The previous prime is 273144211554803. The next prime is 273144211554817. The reversal of 273144211554816 is 618455112441372.

273144211554816 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 4 + 4 + 2 + 1 + 1 + 554 + 81 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (273144211554817) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1675731359151 + ... + 1675731359313.

It is an arithmetic number, because the mean of its divisors is an integer number (198413206992).

Almost surely, 2^{273144211554816} 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 273144211554816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571430036136960).

273144211554816 is an abundant number, since it is smaller than the sum of its proper divisors (869715860719104).

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

273144211554816 is a wasteful number, since it uses less digits than its factorization.

273144211554816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 271 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 273144211554816 in words is "two hundred seventy-three trillion, one hundred forty-four billion, two hundred eleven million, five hundred fifty-four thousand, eight hundred sixteen".