46838494767680 has 504 divisors, whose sum is σ = 142911480902400. Its totient is φ = 14568250583040.

The previous prime is 46838494767661. The next prime is 46838494767731. The reversal of 46838494767680 is 8676749483864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 46838494767595 and 46838494767604.

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, 908771351 + ... + 908822889.

It is an arithmetic number, because the mean of its divisors is an integer number (283554525600).

Almost surely, 2^{46838494767680} is an apocalyptic number.

46838494767680 is a gapful number since it is divisible by the number (40) 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 46838494767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71455740451200).

46838494767680 is an abundant number, since it is smaller than the sum of its proper divisors (96072986134720).

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

46838494767680 is a wasteful number, since it uses less digits than its factorization.

46838494767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52071 (or 52043 counting only the distinct ones).

The product of its (nonzero) digits is 9364045824, while the sum is 80.

The spelling of 46838494767680 in words is "forty-six trillion, eight hundred thirty-eight billion, four hundred ninety-four million, seven hundred sixty-seven thousand, six hundred eighty".