49746455464794 has 96 divisors (see below), whose sum is σ = 111251051456832. Its totient is φ = 14815891200000.

The previous prime is 49746455464781. The next prime is 49746455464807.

It is a happy number.

49746455464794 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (49746455464781) and next prime (49746455464807).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9491044 + ... + 13768544.

It is an arithmetic number, because the mean of its divisors is an integer number (1158865119342).

Almost surely, 2^{49746455464794} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49746455464794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55625525728416).

49746455464794 is an abundant number, since it is smaller than the sum of its proper divisors (61504595992038).

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

49746455464794 is a wasteful number, since it uses less digits than its factorization.

49746455464794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277804 (or 4277793 counting only the distinct ones).

The product of its digits is 14631321600, while the sum is 78.

The spelling of 49746455464794 in words is "forty-nine trillion, seven hundred forty-six billion, four hundred fifty-five million, four hundred sixty-four thousand, seven hundred ninety-four".