249352774272 has 864 divisors, whose sum is σ = 899256496320. Its totient is φ = 68545999872.

The previous prime is 249352774189. The next prime is 249352774357. The reversal of 249352774272 is 272477253942.

It is a happy number.

249352774272 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 527 + 7 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4226318179 + ... + 4226318237.

It is an arithmetic number, because the mean of its divisors is an integer number (1040806130).

Almost surely, 2^249352774272 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 249352774272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449628248160).

249352774272 is an abundant number, since it is smaller than the sum of its proper divisors (649903722048).

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

249352774272 is an frugal number, since it uses more digits than its factorization.

249352774272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 118 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 249352774272 in words is "two hundred forty-nine billion, three hundred fifty-two million, seven hundred seventy-four thousand, two hundred seventy-two".