249466807632 has 320 divisors, whose sum is σ = 789318051840. Its totient is φ = 66272919552.

The previous prime is 249466807631. The next prime is 249466807703. The reversal of 249466807632 is 236708664942.

It is a super-2 number, since 2×249466807632² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249466807631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337573119 + ... + 337573857.

It is an arithmetic number, because the mean of its divisors is an integer number (2466618912).

Almost surely, 2^249466807632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249466807632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394659025920).

249466807632 is an abundant number, since it is smaller than the sum of its proper divisors (539851244208).

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

249466807632 is a wasteful number, since it uses less digits than its factorization.

249466807632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 249466807632 in words is "two hundred forty-nine billion, four hundred sixty-six million, eight hundred seven thousand, six hundred thirty-two".