46400646656 has 160 divisors (see below), whose sum is σ = 114337681920. Its totient is φ = 18318974976.

The previous prime is 46400646653. The next prime is 46400646673. The reversal of 46400646656 is 65664600464.

It is a super-4 number, since 4×46400646656⁴ (a number of 44 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46400646656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46400646653) 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, 39090095 + ... + 39091281.

It is an arithmetic number, because the mean of its divisors is an integer number (714610512).

Almost surely, 2^46400646656 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 46400646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57168840960).

46400646656 is an abundant number, since it is smaller than the sum of its proper divisors (67937035264).

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

46400646656 is a wasteful number, since it uses less digits than its factorization.

46400646656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 46400646656 in words is "forty-six billion, four hundred million, six hundred forty-six thousand, six hundred fifty-six".