46827182755521 has 81 divisors (see below), whose sum is σ = 80875618191459. Its totient is φ = 26032234219488.

The previous prime is 46827182755477. The next prime is 46827182755537. The reversal of 46827182755521 is 12555728172864.

It is a happy number.

The square root of 46827182755521 is 6843039.

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

46827182755521 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 7 + 1 + 8 + 2 + 75 + 552 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41901606191025 + 4925576564496 = 6473145^2 + 2219364^2 .

It is not a de Polignac number, because 46827182755521 - 2¹⁵ = 46827182722753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46827182755541) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5317036900 + ... + 5317045706.

Almost surely, 2^{46827182755521} is an apocalyptic number.

46827182755521 is the 6843039-th square number.

46827182755521 is the 3421520-th centered octagonal number.

It is an amenable number.

46827182755521 is a deficient number, since it is larger than the sum of its proper divisors (34048435435938).

46827182755521 is an frugal number, since it uses more digits than its factorization.

46827182755521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17708 (or 8854 counting only the distinct ones).

The product of its digits is 75264000, while the sum is 63.

The spelling of 46827182755521 in words is "forty-six trillion, eight hundred twenty-seven billion, one hundred eighty-two million, seven hundred fifty-five thousand, five hundred twenty-one".