51102356416314 has 192 divisors, whose sum is σ = 125918625945600. Its totient is φ = 13758063580800.

The previous prime is 51102356416297. The next prime is 51102356416361. The reversal of 51102356416314 is 41361465320115.

It is a super-2 number, since 2×51102356416314² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135721437 + ... + 136097439.

It is an arithmetic number, because the mean of its divisors is an integer number (655826176800).

Almost surely, 2^{51102356416314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51102356416314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62959312972800).

51102356416314 is an abundant number, since it is smaller than the sum of its proper divisors (74816269529286).

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

51102356416314 is a wasteful number, since it uses less digits than its factorization.

51102356416314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376345 (or 376338 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 51102356416314 in words is "fifty-one trillion, one hundred two billion, three hundred fifty-six million, four hundred sixteen thousand, three hundred fourteen".