61009191460 has 144 divisors (see below), whose sum is σ = 155557810800. Its totient is φ = 20021514240.

The previous prime is 61009191427. The next prime is 61009191461. The reversal of 61009191460 is 6419190016.

It can be written as a sum of positive squares in 8 ways, for example, as 4011448896 + 56997742564 = 63336^2 + 238742^2 .

It is not an unprimeable number, because it can be changed into a prime (61009191461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2115216 + ... + 2143864.

It is an arithmetic number, because the mean of its divisors is an integer number (1080262575).

Almost surely, 2^61009191460 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 61009191460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77778905400).

61009191460 is an abundant number, since it is smaller than the sum of its proper divisors (94548619340).

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

61009191460 is a wasteful number, since it uses less digits than its factorization.

61009191460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28766 (or 28757 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 61009191460 in words is "sixty-one billion, nine million, one hundred ninety-one thousand, four hundred sixty".