46434817066880 has 128 divisors (see below), whose sum is σ = 121118498242560. Its totient is φ = 16882793728000.

The previous prime is 46434817066829. The next prime is 46434817066901. The reversal of 46434817066880 is 8866071843464.

46434817066880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×46434817066880² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45615617 + ... + 46622463.

It is an arithmetic number, because the mean of its divisors is an integer number (946238267520).

Almost surely, 2^{46434817066880} is an apocalyptic number.

46434817066880 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 46434817066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60559249121280).

46434817066880 is an abundant number, since it is smaller than the sum of its proper divisors (74683681175680).

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

46434817066880 is a wasteful number, since it uses less digits than its factorization.

46434817066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013428 (or 1013416 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 65.

The spelling of 46434817066880 in words is "forty-six trillion, four hundred thirty-four billion, eight hundred seventeen million, sixty-six thousand, eight hundred eighty".