61383689109648 has 640 divisors, whose sum is σ = 189592665292800. Its totient is φ = 18947570761728.

The previous prime is 61383689109643. The next prime is 61383689109649. The reversal of 61383689109648 is 84690198638316.

61383689109648 is a `hidden beast` number, since 6 + 1 + 383 + 6 + 89 + 109 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (61383689109643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122035166965 + ... + 122035167467.

It is an arithmetic number, because the mean of its divisors is an integer number (296238539520).

Almost surely, 2^{61383689109648} is an apocalyptic number.

61383689109648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61383689109648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94796332646400).

61383689109648 is an abundant number, since it is smaller than the sum of its proper divisors (128208976183152).

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

61383689109648 is a wasteful number, since it uses less digits than its factorization.

61383689109648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 61383689109648 in words is "sixty-one trillion, three hundred eighty-three billion, six hundred eighty-nine million, one hundred nine thousand, six hundred forty-eight".