51354243331344 has 160 divisors (see below), whose sum is σ = 155435647910400. Its totient is φ = 16188726718080.

The previous prime is 51354243331301. The next prime is 51354243331373. The reversal of 51354243331344 is 44313334245315.

51354243331344 is a `hidden beast` number, since 5 + 1 + 3 + 54 + 243 + 3 + 313 + 44 = 666.

It is a super-3 number, since 3×51354243331344³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51354243331344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791874 + ... + 10165409.

It is an arithmetic number, because the mean of its divisors is an integer number (971472799440).

Almost surely, 2^{51354243331344} is an apocalyptic number.

51354243331344 is a gapful number since it is divisible by the number (54) 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 51354243331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77717823955200).

51354243331344 is an abundant number, since it is smaller than the sum of its proper divisors (104081404579056).

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

51354243331344 is a wasteful number, since it uses less digits than its factorization.

51354243331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10957890 (or 10957878 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

Adding to 51354243331344 its reverse (44313334245315), we get a palindrome (95667577576659).

The spelling of 51354243331344 in words is "fifty-one trillion, three hundred fifty-four billion, two hundred forty-three million, three hundred thirty-one thousand, three hundred forty-four".