249061472352 has 480 divisors, whose sum is σ = 934495398144. Its totient is φ = 63184665600.

The previous prime is 249061472329. The next prime is 249061472353. The reversal of 249061472352 is 253274160942.

249061472352 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 614 + 7 + 23 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 249061472298 and 249061472307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249061472353) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8567602 + ... + 8596622.

Almost surely, 2^249061472352 is an apocalyptic number.

249061472352 is a gapful number since it is divisible by the number (22) 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 249061472352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467247699072).

249061472352 is an abundant number, since it is smaller than the sum of its proper divisors (685433925792).

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

249061472352 is a wasteful number, since it uses less digits than its factorization.

249061472352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29104 (or 29087 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 249061472352 in words is "two hundred forty-nine billion, sixty-one million, four hundred seventy-two thousand, three hundred fifty-two".