6461112031200 has 1728 divisors, whose sum is σ = 26312785873920. Its totient is φ = 1538790359040.

The previous prime is 6461112031103. The next prime is 6461112031229. The reversal of 6461112031200 is 21302111646.

It is a happy number.

6461112031200 is a `hidden beast` number, since 6 + 4 + 611 + 1 + 20 + 3 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12693736546 + ... + 12693737054.

It is an arithmetic number, because the mean of its divisors is an integer number (15227306640).

Almost surely, 2^{6461112031200} is an apocalyptic number.

6461112031200 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 6461112031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156392936960).

6461112031200 is an abundant number, since it is smaller than the sum of its proper divisors (19851673842720).

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

6461112031200 is a wasteful number, since it uses less digits than its factorization.

6461112031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 6461112031200 its reverse (21302111646), we get a palindrome (6482414142846).

The spelling of 6461112031200 in words is "six trillion, four hundred sixty-one billion, one hundred twelve million, thirty-one thousand, two hundred".