254131444032096 has 96 divisors (see below), whose sum is σ = 702348084345600. Its totient is φ = 80235717419520.

The previous prime is 254131444031893. The next prime is 254131444032107. The reversal of 254131444032096 is 690230444131452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5189815 + ... + 23134326.

It is an arithmetic number, because the mean of its divisors is an integer number (7316125878600).

Almost surely, 2^{254131444032096} is an apocalyptic number.

It is an amenable number.

254131444032096 is an abundant number, since it is smaller than the sum of its proper divisors (448216640313504).

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

254131444032096 is a wasteful number, since it uses less digits than its factorization.

254131444032096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28329092 (or 28329084 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 254131444032096 in words is "two hundred fifty-four trillion, one hundred thirty-one billion, four hundred forty-four million, thirty-two thousand, ninety-six".