254249432064 has 704 divisors, whose sum is σ = 828389785600. Its totient is φ = 76751732736.

The previous prime is 254249432053. The next prime is 254249432117. The reversal of 254249432064 is 460234942452.

254249432064 is a `hidden beast` number, since 2 + 542 + 4 + 9 + 43 + 2 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001963969 + ... + 2001964095.

Almost surely, 2^254249432064 is an apocalyptic number.

254249432064 is a gapful number since it is divisible by the number (24) 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 254249432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414194892800).

254249432064 is an abundant number, since it is smaller than the sum of its proper divisors (574140353536).

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

254249432064 is a wasteful number, since it uses less digits than its factorization.

254249432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 254249432064 in words is "two hundred fifty-four billion, two hundred forty-nine million, four hundred thirty-two thousand, sixty-four".