249134347714560 has 3648 divisors, whose sum is σ = 1096760756797440. Its totient is φ = 47087773286400.

The previous prime is 249134347714559. The next prime is 249134347714583. The reversal of 249134347714560 is 65417743431942.

It is a tau number, because it is divible by the number of its divisors (3648).

It is a super-2 number, since 2×249134347714560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 249134347714494 and 249134347714503.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1961687777217 + ... + 1961687777343.

It is an arithmetic number, because the mean of its divisors is an integer number (300647137280).

Almost surely, 2^{249134347714560} is an apocalyptic number.

249134347714560 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 249134347714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548380378398720).

249134347714560 is an abundant number, since it is smaller than the sum of its proper divisors (847626409082880).

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

249134347714560 is a wasteful number, since it uses less digits than its factorization.

249134347714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 249134347714560 in words is "two hundred forty-nine trillion, one hundred thirty-four billion, three hundred forty-seven million, seven hundred fourteen thousand, five hundred sixty".