21161015046 has 256 divisors, whose sum is σ = 53032320000. Its totient is φ = 6227020800.

The previous prime is 21161015033. The next prime is 21161015053. The reversal of 21161015046 is 64051016112.

21161015046 is a `hidden beast` number, since 2 + 1 + 1 + 610 + 1 + 5 + 0 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 161534401 + ... + 161534531.

It is an arithmetic number, because the mean of its divisors is an integer number (207157500).

Almost surely, 2^21161015046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21161015046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160000).

21161015046 is an abundant number, since it is smaller than the sum of its proper divisors (31871304954).

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

21161015046 is a wasteful number, since it uses less digits than its factorization.

21161015046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 21161015046 in words is "twenty-one billion, one hundred sixty-one million, fifteen thousand, forty-six".