61440055454961 has 16 divisors (see below), whose sum is σ = 91022579928000. Its totient is φ = 40959912972384.

The previous prime is 61440055454873. The next prime is 61440055454983. The reversal of 61440055454961 is 16945455004416.

61440055454961 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 0 + 0 + 5 + 545 + 4 + 96 + 1 = 666.

61440055454961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-61440055454961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61440055454898 and 61440055454907.

It is not an unprimeable number, because it can be changed into a prime (61440055459961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6122845 + ... + 12663701.

It is an arithmetic number, because the mean of its divisors is an integer number (5688911245500).

Almost surely, 2^{61440055454961} is an apocalyptic number.

It is an amenable number.

61440055454961 is a deficient number, since it is larger than the sum of its proper divisors (29582524473039).

61440055454961 is a wasteful number, since it uses less digits than its factorization.

61440055454961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888765 (or 6888759 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 61440055454961 in words is "sixty-one trillion, four hundred forty billion, fifty-five million, four hundred fifty-four thousand, nine hundred sixty-one".