21152362161546 has 1024 divisors, whose sum is σ = 65408278118400. Its totient is φ = 4939762544640.

The previous prime is 21152362161503. The next prime is 21152362161571. The reversal of 21152362161546 is 64516126325112.

21152362161546 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 3 + 6 + 21 + 615 + 4 + 6 = 666.

It is a super-2 number, since 2×21152362161546² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 26539977220 + ... + 26539978016.

It is an arithmetic number, because the mean of its divisors is an integer number (63875271600).

Almost surely, 2^{21152362161546} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21152362161546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32704139059200).

21152362161546 is an abundant number, since it is smaller than the sum of its proper divisors (44255915956854).

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

21152362161546 is a wasteful number, since it uses less digits than its factorization.

21152362161546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 973 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

Adding to 21152362161546 its reverse (64516126325112), we get a palindrome (85668488486658).

The spelling of 21152362161546 in words is "twenty-one trillion, one hundred fifty-two billion, three hundred sixty-two million, one hundred sixty-one thousand, five hundred forty-six".