16045906032 has 640 divisors, whose sum is σ = 54716497920. Its totient is φ = 4464046080.

The previous prime is 16045906021. The next prime is 16045906039. The reversal of 16045906032 is 23060954061.

It is a happy number.

16045906032 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 590 + 60 + 3 + 2 = 666.

It is a super-3 number, since 3×16045906032³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16045906039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302752918 + ... + 302752970.

It is an arithmetic number, because the mean of its divisors is an integer number (85494528).

Almost surely, 2^16045906032 is an apocalyptic number.

16045906032 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 16045906032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358248960).

16045906032 is an abundant number, since it is smaller than the sum of its proper divisors (38670591888).

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

16045906032 is a wasteful number, since it uses less digits than its factorization.

16045906032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 16045906032 in words is "sixteen billion, forty-five million, nine hundred six thousand, thirty-two".