46678055757984 has 432 divisors, whose sum is σ = 163364917716000. Its totient is φ = 12570512145408.

The previous prime is 46678055757973. The next prime is 46678055757997. The reversal of 46678055757984 is 48975755087664.

46678055757984 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 8 + 0 + 557 + 57 + 9 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52379367 + ... + 53263065.

It is an arithmetic number, because the mean of its divisors is an integer number (378159531750).

Almost surely, 2^{46678055757984} 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 46678055757984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81682458858000).

46678055757984 is an abundant number, since it is smaller than the sum of its proper divisors (116686861958016).

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

46678055757984 is a wasteful number, since it uses less digits than its factorization.

46678055757984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883945 (or 883927 counting only the distinct ones).

The product of its (nonzero) digits is 14224896000, while the sum is 81.

The spelling of 46678055757984 in words is "forty-six trillion, six hundred seventy-eight billion, fifty-five million, seven hundred fifty-seven thousand, nine hundred eighty-four".