61148146410 has 96 divisors (see below), whose sum is σ = 171773521920. Its totient is φ = 15002734464.

The previous prime is 61148146331. The next prime is 61148146441. The reversal of 61148146410 is 1464184116.

It is a happy number.

61148146410 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 8 + 1 + 4 + 641 + 0 = 666.

It is a super-3 number, since 3×61148146410³ (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274071 + ... + 444309.

It is an arithmetic number, because the mean of its divisors is an integer number (1789307520).

Almost surely, 2^61148146410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61148146410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85886760960).

61148146410 is an abundant number, since it is smaller than the sum of its proper divisors (110625375510).

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

61148146410 is a wasteful number, since it uses less digits than its factorization.

61148146410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170572 (or 170569 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 61148146410 in words is "sixty-one billion, one hundred forty-eight million, one hundred forty-six thousand, four hundred ten".