49933664001 has 128 divisors (see below), whose sum is σ = 90690969600. Its totient is φ = 26812892160.

The previous prime is 49933663973. The next prime is 49933664023. The reversal of 49933664001 is 10046633994.

It is not a de Polignac number, because 49933664001 - 2¹⁵ = 49933631233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49933664071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5323846 + ... + 5333216.

It is an arithmetic number, because the mean of its divisors is an integer number (708523200).

Almost surely, 2^49933664001 is an apocalyptic number.

It is an amenable number.

49933664001 is a deficient number, since it is larger than the sum of its proper divisors (40757305599).

49933664001 is a wasteful number, since it uses less digits than its factorization.

49933664001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 49933664001 in words is "forty-nine billion, nine hundred thirty-three million, six hundred sixty-four thousand, one".