949978046398465 has 64 divisors (see below), whose sum is σ = 1311126236098560. Its totient is φ = 647275215421440.

The previous prime is 949978046398429. The next prime is 949978046398487. The reversal of 949978046398465 is 564893640879949.

It is a happy number.

It is a Cunningham number, because it is equal to 98304³+1.

It is not a de Polignac number, because 949978046398465 - 2³¹ = 949975898914817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 949978046398465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48317880735 + ... + 48317900395.

It is an arithmetic number, because the mean of its divisors is an integer number (20486347439040).

It is a Proth number, since it is equal to 27 ⋅ 2⁴⁵ + 1 and 27 < 2⁴⁵.

Almost surely, 2^{949978046398465} is an apocalyptic number.

It is an amenable number.

949978046398465 is a deficient number, since it is larger than the sum of its proper divisors (361148189700095).

949978046398465 is a wasteful number, since it uses less digits than its factorization.

949978046398465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31202.

The product of its (nonzero) digits is 101583175680, while the sum is 91.

The spelling of 949978046398465 in words is "nine hundred forty-nine trillion, nine hundred seventy-eight billion, forty-six million, three hundred ninety-eight thousand, four hundred sixty-five".