61186996224 has 144 divisors (see below), whose sum is σ = 187115488560. Its totient is φ = 19195822080.

The previous prime is 61186996223. The next prime is 61186996229. The reversal of 61186996224 is 42269968116.

61186996224 is a `hidden beast` number, since 6 + 1 + 1 + 8 + 6 + 9 + 9 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×61186996224³ (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61186996223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215709 + ... + 410979.

It is an arithmetic number, because the mean of its divisors is an integer number (1299413115).

Almost surely, 2^61186996224 is an apocalyptic number.

61186996224 is a gapful number since it is divisible by the number (64) 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 61186996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93557744280).

61186996224 is an abundant number, since it is smaller than the sum of its proper divisors (125928492336).

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

61186996224 is a wasteful number, since it uses less digits than its factorization.

61186996224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195316 (or 195293 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 61186996224 in words is "sixty-one billion, one hundred eighty-six million, nine hundred ninety-six thousand, two hundred twenty-four".