61149936672 has 144 divisors (see below), whose sum is σ = 189794797920. Its totient is φ = 18521395200.

The previous prime is 61149936671. The next prime is 61149936689. The reversal of 61149936672 is 27663994116.

61149936672 is a `hidden beast` number, since 61 + 1 + 499 + 36 + 67 + 2 = 666.

61149936672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×61149936672² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61149936671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10036347 + ... + 10042437.

It is an arithmetic number, because the mean of its divisors is an integer number (1318019430).

Almost surely, 2^61149936672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61149936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94897398960).

61149936672 is an abundant number, since it is smaller than the sum of its proper divisors (128644861248).

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

61149936672 is a wasteful number, since it uses less digits than its factorization.

61149936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9287 (or 9276 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 61149936672 in words is "sixty-one billion, one hundred forty-nine million, nine hundred thirty-six thousand, six hundred seventy-two".