249482454144 has 288 divisors, whose sum is σ = 847340499600. Its totient is φ = 64800046080.

The previous prime is 249482454121. The next prime is 249482454157. The reversal of 249482454144 is 441454284942.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2221947 + ... + 2331525.

Almost surely, 2^249482454144 is an apocalyptic number.

249482454144 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 249482454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423670249800).

249482454144 is an abundant number, since it is smaller than the sum of its proper divisors (597858045456).

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

249482454144 is a wasteful number, since it uses less digits than its factorization.

249482454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109632 (or 109602 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 51.

The spelling of 249482454144 in words is "two hundred forty-nine billion, four hundred eighty-two million, four hundred fifty-four thousand, one hundred forty-four".