51148111343616 has 728 divisors, whose sum is σ = 175608517867104. Its totient is φ = 14584979128320.

The previous prime is 51148111343599. The next prime is 51148111343663. The reversal of 51148111343616 is 61634311184115.

51148111343616 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 8 + 11 + 13 + 4 + 3 + 616 = 666.

It is a super-2 number, since 2×51148111343616² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12060387256 + ... + 12060391496.

Almost surely, 2^{51148111343616} is an apocalyptic number.

51148111343616 is a gapful number since it is divisible by the number (56) 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 51148111343616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87804258933552).

51148111343616 is an abundant number, since it is smaller than the sum of its proper divisors (124460406523488).

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

51148111343616 is an frugal number, since it uses more digits than its factorization.

51148111343616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4830 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 51148111343616 in words is "fifty-one trillion, one hundred forty-eight billion, one hundred eleven million, three hundred forty-three thousand, six hundred sixteen".