104414272677 has 48 divisors (see below), whose sum is σ = 178236676800. Its totient is φ = 58413457440.

The previous prime is 104414272667. The next prime is 104414272681. The reversal of 104414272677 is 776272414401.

104414272677 is a `hidden beast` number, since 104 + 414 + 2 + 72 + 67 + 7 = 666.

It is not a de Polignac number, because 104414272677 - 2¹⁶ = 104414207141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104414272667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22527 + ... + 457532.

It is an arithmetic number, because the mean of its divisors is an integer number (3713264100).

Almost surely, 2^104414272677 is an apocalyptic number.

It is an amenable number.

104414272677 is a deficient number, since it is larger than the sum of its proper divisors (73822404123).

104414272677 is a wasteful number, since it uses less digits than its factorization.

104414272677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480115 (or 480086 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 104414272677 in words is "one hundred four billion, four hundred fourteen million, two hundred seventy-two thousand, six hundred seventy-seven".