102414436641 has 24 divisors (see below), whose sum is σ = 167357377824. Its totient is φ = 62069353920.

The previous prime is 102414436637. The next prime is 102414436643. The reversal of 102414436641 is 146634414201.

102414436641 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 4 + 4 + 3 + 6 + 641 = 666.

It is not a de Polignac number, because 102414436641 - 2² = 102414436637 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102414436596 and 102414436605.

It is not an unprimeable number, because it can be changed into a prime (102414436643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19154536 + ... + 19159881.

It is an arithmetic number, because the mean of its divisors is an integer number (6973224076).

Almost surely, 2^102414436641 is an apocalyptic number.

102414436641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102414436641 is a deficient number, since it is larger than the sum of its proper divisors (64942941183).

102414436641 is an equidigital number, since it uses as much as digits as its factorization.

102414436641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38314443 (or 38314431 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 102414436641 in words is "one hundred two billion, four hundred fourteen million, four hundred thirty-six thousand, six hundred forty-one".