249353140608000 has 2816 divisors, whose sum is σ = 1129847913492480. Its totient is φ = 53370814464000.

The previous prime is 249353140607929. The next prime is 249353140608031. The reversal of 249353140608000 is 806041353942.

249353140608000 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 5 + 31 + 4 + 0 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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 255 ways as a sum of consecutive naturals, for example, 11366773032 + ... + 11366794968.

Almost surely, 2^{249353140608000} is an apocalyptic number.

249353140608000 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 249353140608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564923956746240).

249353140608000 is an abundant number, since it is smaller than the sum of its proper divisors (880494772884480).

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

249353140608000 is a wasteful number, since it uses less digits than its factorization.

249353140608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22028 (or 21994 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 249353140608000 in words is "two hundred forty-nine trillion, three hundred fifty-three billion, one hundred forty million, six hundred eight thousand".