49046634000 has 960 divisors, whose sum is σ = 218840993280. Its totient is φ = 10338969600.

The previous prime is 49046633963. The next prime is 49046634001. The reversal of 49046634000 is 43664094.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49046634001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44225446 + ... + 44226554.

It is an arithmetic number, because the mean of its divisors is an integer number (227959368).

Almost surely, 2^49046634000 is an apocalyptic number.

49046634000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49046634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109420496640).

49046634000 is an abundant number, since it is smaller than the sum of its proper divisors (169794359280).

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

49046634000 is a wasteful number, since it uses less digits than its factorization.

49046634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 49046634000 in words is "forty-nine billion, forty-six million, six hundred thirty-four thousand".