49374400462864 has 135 divisors (see below), whose sum is σ = 98323244528733. Its totient is φ = 24019144516224.

The previous prime is 49374400462813. The next prime is 49374400462979. The reversal of 49374400462864 is 46826400447394.

The square root of 49374400462864 is 7026692.

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

49374400462864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14472394147600 + 34902006315264 = 3804260^2 + 5907792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 295655092509 + ... + 295655092675.

Almost surely, 2^{49374400462864} is an apocalyptic number.

49374400462864 is the 7026692-nd square number.

It is an amenable number.

49374400462864 is a deficient number, since it is larger than the sum of its proper divisors (48948844065869).

49374400462864 is an frugal number, since it uses more digits than its factorization.

49374400462864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 61.

The spelling of 49374400462864 in words is "forty-nine trillion, three hundred seventy-four billion, four hundred million, four hundred sixty-two thousand, eight hundred sixty-four".