251849461248 has 1280 divisors, whose sum is σ = 989559521280. Its totient is φ = 62078607360.

The previous prime is 251849461211. The next prime is 251849461313. The reversal of 251849461248 is 842164948152.

251849461248 is a `hidden beast` number, since 2 + 5 + 18 + 4 + 9 + 4 + 612 + 4 + 8 = 666.

It is a super-2 number, since 2×251849461248² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 251849461194 and 251849461203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1983066561 + ... + 1983066687.

It is an arithmetic number, because the mean of its divisors is an integer number (773093376).

Almost surely, 2^251849461248 is an apocalyptic number.

251849461248 is a gapful number since it is divisible by the number (28) 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 251849461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494779760640).

251849461248 is an abundant number, since it is smaller than the sum of its proper divisors (737710060032).

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

251849461248 is an equidigital number, since it uses as much as digits as its factorization.

251849461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 251849461248 in words is "two hundred fifty-one billion, eight hundred forty-nine million, four hundred sixty-one thousand, two hundred forty-eight".