49085497216 has 128 divisors (see below), whose sum is σ = 115805675520. Its totient is φ = 20279808000.

The previous prime is 49085497189. The next prime is 49085497259. The reversal of 49085497216 is 61279458094.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7524036 + ... + 7530556.

It is an arithmetic number, because the mean of its divisors is an integer number (904731840).

Almost surely, 2^49085497216 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 49085497216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57902837760).

49085497216 is an abundant number, since it is smaller than the sum of its proper divisors (66720178304).

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

49085497216 is a wasteful number, since it uses less digits than its factorization.

49085497216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

It can be divided in two parts, 490854 and 97216, that added together give a triangular number (588070 = T₁₀₈₄).

The spelling of 49085497216 in words is "forty-nine billion, eighty-five million, four hundred ninety-seven thousand, two hundred sixteen".