16145205804 has 216 divisors, whose sum is σ = 51997392720. Its totient is φ = 4185554688.

The previous prime is 16145205803. The next prime is 16145205809. The reversal of 16145205804 is 40850254161.

It is a happy number.

16145205804 is a `hidden beast` number, since 16 + 1 + 45 + 20 + 580 + 4 = 666.

It is a super-3 number, since 3×16145205804³ (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (16145205803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1347022 + ... + 1358954.

It is an arithmetic number, because the mean of its divisors is an integer number (240728670).

Almost surely, 2^16145205804 is an apocalyptic number.

16145205804 is a gapful number since it is divisible by the number (14) 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 16145205804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998696360).

16145205804 is an abundant number, since it is smaller than the sum of its proper divisors (35852186916).

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

16145205804 is a wasteful number, since it uses less digits than its factorization.

16145205804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 16145205804 its reverse (40850254161), we get a palindrome (56995459965).

The spelling of 16145205804 in words is "sixteen billion, one hundred forty-five million, two hundred five thousand, eight hundred four".