49005945789696 has 360 divisors, whose sum is σ = 168480080645184. Its totient is φ = 13877785313280.

The previous prime is 49005945789683. The next prime is 49005945789719. The reversal of 49005945789696 is 69698754950094.

49005945789696 is a `hidden beast` number, since 490 + 0 + 5 + 9 + 45 + 7 + 89 + 6 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14908291 + ... + 17896061.

Almost surely, 2^{49005945789696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49005945789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240040322592).

49005945789696 is an abundant number, since it is smaller than the sum of its proper divisors (119474134855488).

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

49005945789696 is a wasteful number, since it uses less digits than its factorization.

49005945789696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987919 (or 2987896 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 49005945789696 in words is "forty-nine trillion, five billion, nine hundred forty-five million, seven hundred eighty-nine thousand, six hundred ninety-six".