46437882728316 has 576 divisors, whose sum is σ = 123959350394880. Its totient is φ = 13465309777920.

The previous prime is 46437882728299. The next prime is 46437882728323. The reversal of 46437882728316 is 61382728873464.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192688309956 + ... + 192688310196.

Almost surely, 2^{46437882728316} is an apocalyptic number.

46437882728316 is a gapful number since it is divisible by the number (46) 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 46437882728316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61979675197440).

46437882728316 is an abundant number, since it is smaller than the sum of its proper divisors (77521467666564).

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

46437882728316 is a wasteful number, since it uses less digits than its factorization.

46437882728316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 571 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 69.

The spelling of 46437882728316 in words is "forty-six trillion, four hundred thirty-seven billion, eight hundred eighty-two million, seven hundred twenty-eight thousand, three hundred sixteen".