46415947055625 has 405 divisors, whose sum is σ = 103008236604273. Its totient is φ = 20072512152000.

The previous prime is 46415947055591. The next prime is 46415947055627. The reversal of 46415947055625 is 52655074951464.

The square root of 46415947055625 is 6812925.

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

46415947055625 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 5 + 9 + 4 + 70 + 556 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3639010249161 + 42776936806464 = 1907619^2 + 6540408^2 .

It is not a de Polignac number, because 46415947055625 - 2¹³ = 46415947047433 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 (46415947055627) 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 404 ways as a sum of consecutive naturals, for example, 67958926534 + ... + 67958927216.

Almost surely, 2^{46415947055625} is an apocalyptic number.

46415947055625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46415947055625 is the 6812925-th square number.

46415947055625 is the 3406463-rd centered octagonal number.

It is an amenable number.

46415947055625 is an abundant number, since it is smaller than the sum of its proper divisors (56592289548648).

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

46415947055625 is an frugal number, since it uses more digits than its factorization.

46415947055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 46415947055625 in words is "forty-six trillion, four hundred fifteen billion, nine hundred forty-seven million, fifty-five thousand, six hundred twenty-five".