254023241472 has 2592 divisors, whose sum is σ = 1139951554560. Its totient is φ = 52553318400.

The previous prime is 254023241467. The next prime is 254023241473. The reversal of 254023241472 is 274142320452.

254023241472 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 232 + 414 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254023241473) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8194298097 + ... + 8194298127.

Almost surely, 2^254023241472 is an apocalyptic number.

254023241472 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 254023241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569975777280).

254023241472 is an abundant number, since it is smaller than the sum of its proper divisors (885928313088).

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

254023241472 is a wasteful number, since it uses less digits than its factorization.

254023241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 254023241472 in words is "two hundred fifty-four billion, twenty-three million, two hundred forty-one thousand, four hundred seventy-two".