46115705216 has 128 divisors (see below), whose sum is σ = 106634880000. Its totient is φ = 19456819200.

The previous prime is 46115705213. The next prime is 46115705227. The reversal of 46115705216 is 61250751164.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46115705216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46115705213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31781291 + ... + 31782741.

It is an arithmetic number, because the mean of its divisors is an integer number (833085000).

Almost surely, 2^46115705216 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 46115705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317440000).

46115705216 is an abundant number, since it is smaller than the sum of its proper divisors (60519174784).

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

46115705216 is a wasteful number, since it uses less digits than its factorization.

46115705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 46115705216 in words is "forty-six billion, one hundred fifteen million, seven hundred five thousand, two hundred sixteen".