46097429808896 has 72 divisors (see below), whose sum is σ = 92284915171680. Its totient is φ = 22981100212224.

The previous prime is 46097429808851. The next prime is 46097429808901. The reversal of 46097429808896 is 69880892479064.

46097429808896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46097429808896² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46097429808896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247584125 + ... + 247770243.

It is an arithmetic number, because the mean of its divisors is an integer number (1281734932940).

Almost surely, 2^{46097429808896} 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 46097429808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46142457585840).

46097429808896 is an abundant number, since it is smaller than the sum of its proper divisors (46187485362784).

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

46097429808896 is a wasteful number, since it uses less digits than its factorization.

46097429808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188969 (or 188955 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 80.

The spelling of 46097429808896 in words is "forty-six trillion, ninety-seven billion, four hundred twenty-nine million, eight hundred eight thousand, eight hundred ninety-six".