249132304512 has 576 divisors, whose sum is σ = 915966005760. Its totient is φ = 63574917120.

The previous prime is 249132304493. The next prime is 249132304513. The reversal of 249132304512 is 215403231942.

249132304512 is a `hidden beast` number, since 2 + 4 + 9 + 132 + 3 + 0 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (249132304513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42244348 + ... + 42250244.

It is an arithmetic number, because the mean of its divisors is an integer number (1590218760).

Almost surely, 2^249132304512 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 249132304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457983002880).

249132304512 is an abundant number, since it is smaller than the sum of its proper divisors (666833701248).

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

249132304512 is a wasteful number, since it uses less digits than its factorization.

249132304512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 249132304512 in words is "two hundred forty-nine billion, one hundred thirty-two million, three hundred four thousand, five hundred twelve".