46316078628864 has 1152 divisors, whose sum is σ = 147757048750080. Its totient is φ = 12762847641600.

The previous prime is 46316078628857. The next prime is 46316078628889. The reversal of 46316078628864 is 46882687061364.

It is a super-2 number, since 2×46316078628864² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 167206059894 + ... + 167206060170.

It is an arithmetic number, because the mean of its divisors is an integer number (128261327040).

Almost surely, 2^{46316078628864} is an apocalyptic number.

46316078628864 is a gapful number since it is divisible by the number (44) 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 46316078628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73878524375040).

46316078628864 is an abundant number, since it is smaller than the sum of its proper divisors (101440970121216).

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

46316078628864 is a wasteful number, since it uses less digits than its factorization.

46316078628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 69.

The spelling of 46316078628864 in words is "forty-six trillion, three hundred sixteen billion, seventy-eight million, six hundred twenty-eight thousand, eight hundred sixty-four".