103802314851648 has 1344 divisors, whose sum is σ = 362837665382400. Its totient is φ = 27753805578240.

The previous prime is 103802314851623. The next prime is 103802314851673. The reversal of 103802314851648 is 846158413208301.

It is a happy number.

103802314851648 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 2 + 3 + 1 + 4 + 8 + 516 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (103802314851623) and next prime (103802314851673).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 103802314851594 and 103802314851603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128309412268 + ... + 128309413076.

Almost surely, 2^{103802314851648} is an apocalyptic number.

103802314851648 is a gapful number since it is divisible by the number (18) 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 103802314851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181418832691200).

103802314851648 is an abundant number, since it is smaller than the sum of its proper divisors (259035350530752).

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

103802314851648 is a wasteful number, since it uses less digits than its factorization.

103802314851648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 103802314851648 in words is "one hundred three trillion, eight hundred two billion, three hundred fourteen million, eight hundred fifty-one thousand, six hundred forty-eight".