103758368856408 has 192 divisors, whose sum is σ = 333279293256000. Its totient is φ = 28532703661056.

The previous prime is 103758368856403. The next prime is 103758368856451. The reversal of 103758368856408 is 804658863857301.

103758368856408 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 5 + 83 + 68 + 85 + 6 + 408 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103758368856403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6563823 + ... + 15830366.

It is an arithmetic number, because the mean of its divisors is an integer number (1735829652375).

Almost surely, 2^{103758368856408} is an apocalyptic number.

103758368856408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103758368856408 is an abundant number, since it is smaller than the sum of its proper divisors (229520924399592).

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

103758368856408 is a wasteful number, since it uses less digits than its factorization.

103758368856408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22394554 (or 22394547 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 103758368856408 in words is "one hundred three trillion, seven hundred fifty-eight billion, three hundred sixty-eight million, eight hundred fifty-six thousand, four hundred eight".