61416573984 has 144 divisors (see below), whose sum is σ = 181979179200. Its totient is φ = 19623679488.

The previous prime is 61416573949. The next prime is 61416574003. The reversal of 61416573984 is 48937561416.

61416573984 is a `hidden beast` number, since 61 + 4 + 1 + 6 + 573 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 61416573984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134477 + ... + 1187379.

It is an arithmetic number, because the mean of its divisors is an integer number (1263744300).

Almost surely, 2^61416573984 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 61416573984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90989589600).

61416573984 is an abundant number, since it is smaller than the sum of its proper divisors (120562605216).

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

61416573984 is a wasteful number, since it uses less digits than its factorization.

61416573984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53087 (or 53076 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 61416573984 in words is "sixty-one billion, four hundred sixteen million, five hundred seventy-three thousand, nine hundred eighty-four".