16732541952 has 660 divisors, whose sum is σ = 60990446880. Its totient is φ = 4547321856.

The previous prime is 16732541951. The next prime is 16732542041. The reversal of 16732541952 is 25914523761.

16732541952 is a `hidden beast` number, since 16 + 7 + 3 + 2 + 541 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16732541898 and 16732541907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16732541951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 93477799 + ... + 93477977.

It is an arithmetic number, because the mean of its divisors is an integer number (92409768).

Almost surely, 2^16732541952 is an apocalyptic number.

16732541952 is a gapful number since it is divisible by the number (12) 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 16732541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30495223440).

16732541952 is an abundant number, since it is smaller than the sum of its proper divisors (44257904928).

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

16732541952 is a wasteful number, since it uses less digits than its factorization.

16732541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 16732541952 in words is "sixteen billion, seven hundred thirty-two million, five hundred forty-one thousand, nine hundred fifty-two".