251224144002 has 112 divisors (see below), whose sum is σ = 611864547840. Its totient is φ = 76866856416.

The previous prime is 251224143983. The next prime is 251224144007. The reversal of 251224144002 is 200441422152.

It is a happy number.

251224144002 is a `hidden beast` number, since 2 + 5 + 12 + 241 + 4 + 400 + 2 = 666.

It is a super-2 number, since 2×251224144002² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (251224144007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3355743 + ... + 3429789.

It is an arithmetic number, because the mean of its divisors is an integer number (5463076320).

Almost surely, 2^251224144002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251224144002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305932273920).

251224144002 is an abundant number, since it is smaller than the sum of its proper divisors (360640403838).

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

251224144002 is a wasteful number, since it uses less digits than its factorization.

251224144002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74259 (or 74244 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 251224144002 its reverse (200441422152), we get a palindrome (451665566154).

The spelling of 251224144002 in words is "two hundred fifty-one billion, two hundred twenty-four million, one hundred forty-four thousand, two".