46735462559556 has 81 divisors (see below), whose sum is σ = 118382586925239. Its totient is φ = 15546151660032.

The previous prime is 46735462559551. The next prime is 46735462559651. The reversal of 46735462559556 is 65595526453764.

The square root of 46735462559556 is 6836334.

It is a perfect power (a square), and thus also a powerful number.

46735462559556 is a `hidden beast` number, since 4 + 6 + 7 + 3 + 5 + 4 + 6 + 25 + 595 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3990541597956 + 42744920961600 = 1997634^2 + 6537960^2 .

It is not an unprimeable number, because it can be changed into a prime (46735462559551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27605115846 + ... + 27605117538.

Almost surely, 2^{46735462559556} is an apocalyptic number.

46735462559556 is the 6836334-th square number.

It is an amenable number.

46735462559556 is an abundant number, since it is smaller than the sum of its proper divisors (71647124365683).

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

46735462559556 is an frugal number, since it uses more digits than its factorization.

46735462559556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 2371 counting only the distinct ones).

The product of its digits is 4082400000, while the sum is 72.

The spelling of 46735462559556 in words is "forty-six trillion, seven hundred thirty-five billion, four hundred sixty-two million, five hundred fifty-nine thousand, five hundred fifty-six".