61344346784112 has 160 divisors (see below), whose sum is σ = 201248857344000. Its totient is φ = 17525786164992.

The previous prime is 61344346784089. The next prime is 61344346784177. The reversal of 61344346784112 is 21148764344316.

61344346784112 is a `hidden beast` number, since 6 + 1 + 3 + 443 + 4 + 6 + 7 + 84 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45141033 + ... + 46480119.

It is an arithmetic number, because the mean of its divisors is an integer number (1257805358400).

Almost surely, 2^{61344346784112} is an apocalyptic number.

It is an amenable number.

61344346784112 is an abundant number, since it is smaller than the sum of its proper divisors (139904510559888).

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

61344346784112 is a wasteful number, since it uses less digits than its factorization.

61344346784112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354260 (or 1354248 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 61344346784112 in words is "sixty-one trillion, three hundred forty-four billion, three hundred forty-six million, seven hundred eighty-four thousand, one hundred twelve".