46788431802849 has 117 divisors (see below), whose sum is σ = 77233405041219. Its totient is φ = 28323381929040.

The previous prime is 46788431802841. The next prime is 46788431802851. The reversal of 46788431802849 is 94820813488764.

The square root of 46788431802849 is 6840207.

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

46788431802849 is a `hidden beast` number, since 4 + 6 + 78 + 8 + 431 + 80 + 2 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2702390771025 + 44086041031824 = 1643895^2 + 6639732^2 .

It is not a de Polignac number, because 46788431802849 - 2³ = 46788431802841 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46788431802841) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 54851619507 + ... + 54851620359.

Almost surely, 2^{46788431802849} is an apocalyptic number.

46788431802849 is the 6840207-th square number.

46788431802849 is the 3420104-th centered octagonal number.

It is an amenable number.

46788431802849 is a deficient number, since it is larger than the sum of its proper divisors (30444973238370).

46788431802849 is an frugal number, since it uses more digits than its factorization.

46788431802849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 46788431802849 in words is "forty-six trillion, seven hundred eighty-eight billion, four hundred thirty-one million, eight hundred two thousand, eight hundred forty-nine".