273749601801984 has 288 divisors, whose sum is σ = 908985113455104. Its totient is φ = 71054151843840.

The previous prime is 273749601801971. The next prime is 273749601802099. The reversal of 273749601801984 is 489108106947372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83126692 + ... + 86357084.

It is an arithmetic number, because the mean of its divisors is an integer number (3156198310608).

Almost surely, 2^{273749601801984} is an apocalyptic number.

273749601801984 is a gapful number since it is divisible by the number (24) 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 273749601801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454492556727552).

273749601801984 is an abundant number, since it is smaller than the sum of its proper divisors (635235511653120).

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

273749601801984 is a wasteful number, since it uses less digits than its factorization.

273749601801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231863 (or 3231849 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 273749601801984 in words is "two hundred seventy-three trillion, seven hundred forty-nine billion, six hundred one million, eight hundred one thousand, nine hundred eighty-four".