6145650403200 has 5184 divisors, whose sum is σ = 30713719196160. Its totient is φ = 1207084032000.

The previous prime is 6145650403183. The next prime is 6145650403213. The reversal of 6145650403200 is 23040565416.

6145650403200 is a `hidden beast` number, since 6 + 1 + 45 + 6 + 5 + 0 + 403 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 142922102379 + ... + 142922102421.

Almost surely, 2^{6145650403200} is an apocalyptic number.

6145650403200 is a gapful number since it is divisible by the number (60) 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 6145650403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15356859598080).

6145650403200 is an abundant number, since it is smaller than the sum of its proper divisors (24568068792960).

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

6145650403200 is a wasteful number, since it uses less digits than its factorization.

6145650403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 6145650403200 its reverse (23040565416), we get a palindrome (6168690968616).

The spelling of 6145650403200 in words is "six trillion, one hundred forty-five billion, six hundred fifty million, four hundred three thousand, two hundred".