46784110617048 has 256 divisors, whose sum is σ = 135415120896000. Its totient is φ = 13193255476224.

The previous prime is 46784110617043. The next prime is 46784110617067. The reversal of 46784110617048 is 84071601148764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46784110617043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9247696743 + ... + 9247701801.

It is an arithmetic number, because the mean of its divisors is an integer number (528965316000).

Almost surely, 2^{46784110617048} 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 46784110617048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67707560448000).

46784110617048 is an abundant number, since it is smaller than the sum of its proper divisors (88631010278952).

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

46784110617048 is a wasteful number, since it uses less digits than its factorization.

46784110617048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 46784110617048 in words is "forty-six trillion, seven hundred eighty-four billion, one hundred ten million, six hundred seventeen thousand, forty-eight".