275145849216 has 320 divisors, whose sum is σ = 968081796000. Its totient is φ = 75901722624.

The previous prime is 275145849203. The next prime is 275145849217. The reversal of 275145849216 is 612948541572.

275145849216 is a `hidden beast` number, since 2 + 7 + 5 + 145 + 8 + 492 + 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 (275145849217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2039340 + ... + 2170068.

Almost surely, 2^275145849216 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 275145849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484040898000).

275145849216 is an abundant number, since it is smaller than the sum of its proper divisors (692935946784).

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

275145849216 is a wasteful number, since it uses less digits than its factorization.

275145849216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130791 (or 130770 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 275145849216 in words is "two hundred seventy-five billion, one hundred forty-five million, eight hundred forty-nine thousand, two hundred sixteen".