103693826446416 has 80 divisors (see below), whose sum is σ = 297722807824320. Its totient is φ = 34554956077440.

The previous prime is 103693826446391. The next prime is 103693826446421. The reversal of 103693826446416 is 614644628396301.

103693826446416 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 93 + 82 + 6 + 4 + 464 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31967670 + ... + 35061653.

It is an arithmetic number, because the mean of its divisors is an integer number (3721535097804).

Almost surely, 2^{103693826446416} is an apocalyptic number.

103693826446416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103693826446416 is an abundant number, since it is smaller than the sum of its proper divisors (194028981377904).

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

103693826446416 is a wasteful number, since it uses less digits than its factorization.

103693826446416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67032921 (or 67032909 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 103693826446416 in words is "one hundred three trillion, six hundred ninety-three billion, eight hundred twenty-six million, four hundred forty-six thousand, four hundred sixteen".