874838672670105 has 512 divisors, whose sum is σ = 1949587094568960. Its totient is φ = 366090886656000.

The previous prime is 874838672670101. The next prime is 874838672670191. The reversal of 874838672670105 is 501076276838478.

874838672670105 is a `hidden beast` number, since 8 + 7 + 4 + 8 + 386 + 72 + 6 + 70 + 105 = 666.

874838672670105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 874838672670105 - 2² = 874838672670101 is a prime.

It is a super-2 number, since 2×874838672670105² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (874838672670101) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 17133181275 + ... + 17133232335.

It is an arithmetic number, because the mean of its divisors is an integer number (3807787294080).

Almost surely, 2^{874838672670105} is an apocalyptic number.

It is an amenable number.

874838672670105 is an abundant number, since it is smaller than the sum of its proper divisors (1074748421898855).

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

874838672670105 is a wasteful number, since it uses less digits than its factorization.

874838672670105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51990 (or 51984 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 874838672670105 in words is "eight hundred seventy-four trillion, eight hundred thirty-eight billion, six hundred seventy-two million, six hundred seventy thousand, one hundred five".