61149211200 has 1344 divisors, whose sum is σ = 287364464640. Its totient is φ = 12275712000.

The previous prime is 61149211177. The next prime is 61149211217. The reversal of 61149211200 is 211294116.

61149211200 is a `hidden beast` number, since 61 + 1 + 492 + 112 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103118104 + ... + 103118696.

Almost surely, 2^61149211200 is an apocalyptic number.

61149211200 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 61149211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143682232320).

61149211200 is an abundant number, since it is smaller than the sum of its proper divisors (226215253440).

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

61149211200 is a wasteful number, since it uses less digits than its factorization.

61149211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 61149211200 in words is "sixty-one billion, one hundred forty-nine million, two hundred eleven thousand, two hundred".