51445233144 has 192 divisors, whose sum is σ = 145556611200. Its totient is φ = 16402176000.

The previous prime is 51445233113. The next prime is 51445233193. The reversal of 51445233144 is 44133254415.

51445233144 is a `hidden beast` number, since 51 + 44 + 523 + 3 + 1 + 44 = 666.

It is a super-2 number, since 2×51445233144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51445233099 and 51445233108.

It is a congruent number.

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, 32497777 + ... + 32499359.

It is an arithmetic number, because the mean of its divisors is an integer number (758107350).

Almost surely, 2^51445233144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51445233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72778305600).

51445233144 is an abundant number, since it is smaller than the sum of its proper divisors (94111378056).

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

51445233144 is a wasteful number, since it uses less digits than its factorization.

51445233144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1839 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 51445233144 its reverse (44133254415), we get a palindrome (95578487559).

The spelling of 51445233144 in words is "fifty-one billion, four hundred forty-five million, two hundred thirty-three thousand, one hundred forty-four".