61468134912 has 120 divisors (see below), whose sum is σ = 177626231640. Its totient is φ = 20463390720.

The previous prime is 61468134899. The next prime is 61468134977. The reversal of 61468134912 is 21943186416.

61468134912 is a `hidden beast` number, since 6 + 146 + 8 + 13 + 491 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3811987 + ... + 3828077.

It is an arithmetic number, because the mean of its divisors is an integer number (1480218597).

Almost surely, 2^61468134912 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 61468134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88813115820).

61468134912 is an abundant number, since it is smaller than the sum of its proper divisors (116158096728).

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

61468134912 is a wasteful number, since it uses less digits than its factorization.

61468134912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16944 (or 16925 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 61468134912 in words is "sixty-one billion, four hundred sixty-eight million, one hundred thirty-four thousand, nine hundred twelve".