273148350468 has 192 divisors, whose sum is σ = 784949760000. Its totient is φ = 73692073728.

The previous prime is 273148350443. The next prime is 273148350479. The reversal of 273148350468 is 864053841372.

It is a happy number.

It is a super-2 number, since 2×273148350468² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 273148350468.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24472273 + ... + 24483431.

It is an arithmetic number, because the mean of its divisors is an integer number (4088280000).

Almost surely, 2^273148350468 is an apocalyptic number.

273148350468 is a gapful number since it is divisible by the number (28) 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 273148350468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392474880000).

273148350468 is an abundant number, since it is smaller than the sum of its proper divisors (511801409532).

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

273148350468 is a wasteful number, since it uses less digits than its factorization.

273148350468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11519 (or 11503 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 273148350468 in words is "two hundred seventy-three billion, one hundred forty-eight million, three hundred fifty thousand, four hundred sixty-eight".