61456525344 has 72 divisors (see below), whose sum is σ = 177228559872. Its totient is φ = 20196973440.

The previous prime is 61456525337. The next prime is 61456525369. The reversal of 61456525344 is 44352565416.

61456525344 is a `hidden beast` number, since 6 + 14 + 56 + 52 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 61456525344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482304 + ... + 1523199.

It is an arithmetic number, because the mean of its divisors is an integer number (2461507776).

Almost surely, 2^61456525344 is an apocalyptic number.

It is an amenable number.

61456525344 is an abundant number, since it is smaller than the sum of its proper divisors (115772034528).

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

61456525344 is a wasteful number, since it uses less digits than its factorization.

61456525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005590 (or 3005579 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 61456525344 in words is "sixty-one billion, four hundred fifty-six million, five hundred twenty-five thousand, three hundred forty-four".