46536854175756 has 144 divisors (see below), whose sum is σ = 137798310633984. Its totient is φ = 12965126727168.

The previous prime is 46536854175737. The next prime is 46536854175767. The reversal of 46536854175756 is 65757145863564.

46536854175756 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 6 + 8 + 5 + 41 + 7 + 575 + 6 = 666.

It is a super-3 number, since 3×46536854175756³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2804625 + ... + 10046871.

It is an arithmetic number, because the mean of its divisors is an integer number (956932712736).

Almost surely, 2^{46536854175756} 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 46536854175756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68899155316992).

46536854175756 is an abundant number, since it is smaller than the sum of its proper divisors (91261456458228).

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

46536854175756 is a wasteful number, since it uses less digits than its factorization.

46536854175756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242900 (or 7242895 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 72.

The spelling of 46536854175756 in words is "forty-six trillion, five hundred thirty-six billion, eight hundred fifty-four million, one hundred seventy-five thousand, seven hundred fifty-six".