274877906952 has 128 divisors (see below), whose sum is σ = 769839966720. Its totient is φ = 81068736000.

The previous prime is 274877906951. The next prime is 274877906957. The reversal of 274877906952 is 259609778472.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (274877906951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3146827 + ... + 3232997.

It is an arithmetic number, because the mean of its divisors is an integer number (6014374740).

Almost surely, 2^274877906952 is an apocalyptic number.

274877906952 is a gapful number since it is divisible by the number (22) 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 274877906952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384919983360).

274877906952 is an abundant number, since it is smaller than the sum of its proper divisors (494962059768).

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

274877906952 is a wasteful number, since it uses less digits than its factorization.

274877906952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86515 (or 86511 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 274877906952 in words is "two hundred seventy-four billion, eight hundred seventy-seven million, nine hundred six thousand, nine hundred fifty-two".