273349504262016 has 2048 divisors, whose sum is σ = 1089558754099200. Its totient is φ = 65402604748800.

The previous prime is 273349504262011. The next prime is 273349504262059. The reversal of 273349504262016 is 610262405943372.

273349504262016 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 4 + 9 + 5 + 0 + 4 + 2 + 620 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273349504262011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43589456961 + ... + 43589463231.

It is an arithmetic number, because the mean of its divisors is an integer number (532011110400).

Almost surely, 2^{273349504262016} is an apocalyptic number.

273349504262016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273349504262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544779377049600).

273349504262016 is an abundant number, since it is smaller than the sum of its proper divisors (816209249837184).

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

273349504262016 is a wasteful number, since it uses less digits than its factorization.

273349504262016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 273349504262016 in words is "two hundred seventy-three trillion, three hundred forty-nine billion, five hundred four million, two hundred sixty-two thousand, sixteen".