250145727744 has 432 divisors, whose sum is σ = 766648737792. Its totient is φ = 72264192000.

The previous prime is 250145727737. The next prime is 250145727749. The reversal of 250145727744 is 447727541052.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 250145727693 and 250145727702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250145727749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204533917 + ... + 204535139.

It is an arithmetic number, because the mean of its divisors is an integer number (1774649856).

Almost surely, 2^250145727744 is an apocalyptic number.

250145727744 is a gapful number since it is divisible by the number (24) 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 250145727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383324368896).

250145727744 is an abundant number, since it is smaller than the sum of its proper divisors (516503010048).

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

250145727744 is a wasteful number, since it uses less digits than its factorization.

250145727744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 48.

The spelling of 250145727744 in words is "two hundred fifty billion, one hundred forty-five million, seven hundred twenty-seven thousand, seven hundred forty-four".