46353406014 has 144 divisors (see below), whose sum is σ = 109233620496. Its totient is φ = 14154816000.

The previous prime is 46353406013. The next prime is 46353406067. The reversal of 46353406014 is 41060435364.

46353406014 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 3 + 40 + 601 + 4 = 666.

46353406014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46353406014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46353406013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353842729 + ... + 353842859.

It is an arithmetic number, because the mean of its divisors is an integer number (758566809).

Almost surely, 2^46353406014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46353406014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54616810248).

46353406014 is an abundant number, since it is smaller than the sum of its proper divisors (62880214482).

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

46353406014 is a wasteful number, since it uses less digits than its factorization.

46353406014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 46353406014 in words is "forty-six billion, three hundred fifty-three million, four hundred six thousand, fourteen".