51495148224144 has 135 divisors (see below), whose sum is σ = 147554955345603. Its totient is φ = 16764656642496.

The previous prime is 51495148224131. The next prime is 51495148224167. The reversal of 51495148224144 is 44142284159415.

The square root of 51495148224144 is 7176012.

It is a perfect power (a square), and thus also a powerful number.

51495148224144 is a `hidden beast` number, since 5 + 1 + 4 + 9 + 514 + 82 + 2 + 4 + 1 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3702815239 + ... + 3702829145.

Almost surely, 2^{51495148224144} is an apocalyptic number.

51495148224144 is the 7176012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51495148224144

51495148224144 is an abundant number, since it is smaller than the sum of its proper divisors (96059807121459).

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

51495148224144 is an frugal number, since it uses more digits than its factorization.

51495148224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27914 (or 13955 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 51495148224144 in words is "fifty-one trillion, four hundred ninety-five billion, one hundred forty-eight million, two hundred twenty-four thousand, one hundred forty-four".