249156225360 has 240 divisors, whose sum is σ = 966145829376. Its totient is φ = 56362770432.

The previous prime is 249156225347. The next prime is 249156225403. The reversal of 249156225360 is 63522651942.

249156225360 is a `hidden beast` number, since 2 + 4 + 9 + 1 + 562 + 25 + 3 + 60 = 666.

249156225360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 234057 + ... + 743703.

Almost surely, 2^249156225360 is an apocalyptic number.

249156225360 is a gapful number since it is divisible by the number (20) 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 249156225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483072914688).

249156225360 is an abundant number, since it is smaller than the sum of its proper divisors (716989604016).

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

249156225360 is a wasteful number, since it uses less digits than its factorization.

249156225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509770 (or 509761 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 249156225360 in words is "two hundred forty-nine billion, one hundred fifty-six million, two hundred twenty-five thousand, three hundred sixty".