16481433600 has 432 divisors, whose sum is σ = 60360824160. Its totient is φ = 4295884800.

The previous prime is 16481433593. The next prime is 16481433607. The reversal of 16481433600 is 633418461.

It is a happy number.

16481433600 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 1 + 43 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (16481433593) and next prime (16481433607).

It is a super-2 number, since 2×16481433600² (a number of 21 digits) contains 22 as substring.

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 (16481433607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21657220 + ... + 21657980.

It is an arithmetic number, because the mean of its divisors is an integer number (139724130).

Almost surely, 2^16481433600 is an apocalyptic number.

16481433600 is a gapful number since it is divisible by the number (10) 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 16481433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30180412080).

16481433600 is an abundant number, since it is smaller than the sum of its proper divisors (43879390560).

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

16481433600 is a wasteful number, since it uses less digits than its factorization.

16481433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16481433600 in words is "sixteen billion, four hundred eighty-one million, four hundred thirty-three thousand, six hundred".