10461121301808 has 160 divisors (see below), whose sum is σ = 31067842334400. Its totient is φ = 3366242095104.

The previous prime is 10461121301803. The next prime is 10461121301819. The reversal of 10461121301808 is 80810312116401.

10461121301808 is a `hidden beast` number, since 1 + 0 + 4 + 611 + 2 + 1 + 30 + 1 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×10461121301808² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10461121301801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79524666 + ... + 79656102.

It is an arithmetic number, because the mean of its divisors is an integer number (194174014590).

Almost surely, 2^{10461121301808} is an apocalyptic number.

10461121301808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10461121301808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15533921167200).

10461121301808 is an abundant number, since it is smaller than the sum of its proper divisors (20606721032592).

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

10461121301808 is a wasteful number, since it uses less digits than its factorization.

10461121301808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137836 (or 137824 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10461121301808 in words is "ten trillion, four hundred sixty-one billion, one hundred twenty-one million, three hundred one thousand, eight hundred eight".