46810346826848 has 144 divisors (see below), whose sum is σ = 107612887048128. Its totient is φ = 19872942336000.

The previous prime is 46810346826839. The next prime is 46810346826883. The reversal of 46810346826848 is 84862864301864.

It is a super-3 number, since 3×46810346826848³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11570063 + ... + 15082673.

It is an arithmetic number, because the mean of its divisors is an integer number (747311715612).

Almost surely, 2^{46810346826848} 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 46810346826848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53806443524064).

46810346826848 is an abundant number, since it is smaller than the sum of its proper divisors (60802540221280).

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

46810346826848 is a wasteful number, since it uses less digits than its factorization.

46810346826848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512797 (or 3512772 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 68.

The spelling of 46810346826848 in words is "forty-six trillion, eight hundred ten billion, three hundred forty-six million, eight hundred twenty-six thousand, eight hundred forty-eight".