251141661232 has 240 divisors, whose sum is σ = 646412912640. Its totient is φ = 91809792000.

The previous prime is 251141661229. The next prime is 251141661257. The reversal of 251141661232 is 232166141152.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142774369 + ... + 142776127.

It is an arithmetic number, because the mean of its divisors is an integer number (2693387136).

Almost surely, 2^251141661232 is an apocalyptic number.

251141661232 is a gapful number since it is divisible by the number (22) 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 251141661232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323206456320).

251141661232 is an abundant number, since it is smaller than the sum of its proper divisors (395271251408).

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

251141661232 is a wasteful number, since it uses less digits than its factorization.

251141661232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2197 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The spelling of 251141661232 in words is "two hundred fifty-one billion, one hundred forty-one million, six hundred sixty-one thousand, two hundred thirty-two".