249447343488 has 384 divisors, whose sum is σ = 819048412800. Its totient is φ = 66878300160.

The previous prime is 249447343477. The next prime is 249447343513. The reversal of 249447343488 is 884343744942.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×249447343488² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38249668 + ... + 38256188.

It is an arithmetic number, because the mean of its divisors is an integer number (2132938575).

Almost surely, 2^249447343488 is an apocalyptic number.

249447343488 is a gapful number since it is divisible by the number (28) 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 249447343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409524206400).

249447343488 is an abundant number, since it is smaller than the sum of its proper divisors (569601069312).

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

249447343488 is a wasteful number, since it uses less digits than its factorization.

249447343488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6659 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 60.

The spelling of 249447343488 in words is "two hundred forty-nine billion, four hundred forty-seven million, three hundred forty-three thousand, four hundred eighty-eight".