2245431144000 has 448 divisors, whose sum is σ = 8130981740544. Its totient is φ = 541484800000.

The previous prime is 2245431143999. The next prime is 2245431144017. The reversal of 2245431144000 is 4411345422.

It is a super-2 number, since 2×2245431144000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50401735 + ... + 50446265.

Almost surely, 2^{2245431144000} is an apocalyptic number.

2245431144000 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 2245431144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065490870272).

2245431144000 is an abundant number, since it is smaller than the sum of its proper divisors (5885550596544).

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

2245431144000 is a wasteful number, since it uses less digits than its factorization.

2245431144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44763 (or 44743 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2245431144000 its reverse (4411345422), we get a palindrome (2249842489422).

The spelling of 2245431144000 in words is "two trillion, two hundred forty-five billion, four hundred thirty-one million, one hundred forty-four thousand".