254616616452 has 48 divisors (see below), whose sum is σ = 648324532800. Its totient is φ = 77131608960.

The previous prime is 254616616421. The next prime is 254616616489.

It is a happy number.

254616616452 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100174 + ... + 720602.

It is an arithmetic number, because the mean of its divisors is an integer number (13506761100).

Almost surely, 2^254616616452 is an apocalyptic number.

254616616452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

254616616452 is an abundant number, since it is smaller than the sum of its proper divisors (393707916348).

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

254616616452 is a wasteful number, since it uses less digits than its factorization.

254616616452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623556 (or 623554 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 254616616452 in words is "two hundred fifty-four billion, six hundred sixteen million, six hundred sixteen thousand, four hundred fifty-two".