249226160923720 has 256 divisors, whose sum is σ = 579296188800000. Its totient is φ = 96469689139200.

The previous prime is 249226160923687. The next prime is 249226160923783. The reversal of 249226160923720 is 27329061622942.

It is a happy number.

It is a super-2 number, since 2×249226160923720² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15482762712 + ... + 15482778808.

It is an arithmetic number, because the mean of its divisors is an integer number (2262875737500).

Almost surely, 2^{249226160923720} is an apocalyptic number.

249226160923720 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 249226160923720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289648094400000).

249226160923720 is an abundant number, since it is smaller than the sum of its proper divisors (330070027876280).

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

249226160923720 is a wasteful number, since it uses less digits than its factorization.

249226160923720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16776 (or 16772 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 249226160923720 in words is "two hundred forty-nine trillion, two hundred twenty-six billion, one hundred sixty million, nine hundred twenty-three thousand, seven hundred twenty".