49085670816 has 960 divisors, whose sum is σ = 188513740800. Its totient is φ = 12436623360.

The previous prime is 49085670811. The next prime is 49085670827. The reversal of 49085670816 is 61807658094.

49085670816 is a `hidden beast` number, since 490 + 8 + 5 + 6 + 70 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49085670811) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 358289500 + ... + 358289636.

It is an arithmetic number, because the mean of its divisors is an integer number (196368480).

Almost surely, 2^49085670816 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 49085670816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94256870400).

49085670816 is an abundant number, since it is smaller than the sum of its proper divisors (139428069984).

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

49085670816 is a wasteful number, since it uses less digits than its factorization.

49085670816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 49085670816 in words is "forty-nine billion, eighty-five million, six hundred seventy thousand, eight hundred sixteen".