46464166028064 has 96 divisors (see below), whose sum is σ = 124372191835584. Its totient is φ = 15183298391040.

The previous prime is 46464166028047. The next prime is 46464166028069. The reversal of 46464166028064 is 46082066146464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 46464166027995 and 46464166028013.

It is not an unprimeable number, because it can be changed into a prime (46464166028069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407479 + ... + 9936009.

It is an arithmetic number, because the mean of its divisors is an integer number (1295543664954).

Almost surely, 2^{46464166028064} 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 46464166028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62186095917792).

46464166028064 is an abundant number, since it is smaller than the sum of its proper divisors (77908025807520).

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

46464166028064 is a wasteful number, since it uses less digits than its factorization.

46464166028064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529810 (or 7529802 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 57.

The spelling of 46464166028064 in words is "forty-six trillion, four hundred sixty-four billion, one hundred sixty-six million, twenty-eight thousand, sixty-four".