10164461794272 has 48 divisors (see below), whose sum is σ = 29646346902480. Its totient is φ = 3388153931136.

The previous prime is 10164461794187. The next prime is 10164461794307. The reversal of 10164461794272 is 27249716446101.

It is a happy number.

10164461794272 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 46 + 179 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5882210823 + ... + 5882212550.

It is an arithmetic number, because the mean of its divisors is an integer number (617632227135).

Almost surely, 2^{10164461794272} is an apocalyptic number.

10164461794272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10164461794272 is an abundant number, since it is smaller than the sum of its proper divisors (19481885108208).

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

10164461794272 is a wasteful number, since it uses less digits than its factorization.

10164461794272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11764423392 (or 11764423378 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 10164461794272 in words is "ten trillion, one hundred sixty-four billion, four hundred sixty-one million, seven hundred ninety-four thousand, two hundred seventy-two".