49854587616 has 288 divisors, whose sum is σ = 156040335360. Its totient is φ = 15613710336.

The previous prime is 49854587609. The next prime is 49854587707. The reversal of 49854587616 is 61678545894.

49854587616 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 4 + 5 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×49854587616² (a number of 22 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18762160 + ... + 18764816.

It is an arithmetic number, because the mean of its divisors is an integer number (541806720).

Almost surely, 2^49854587616 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 49854587616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78020167680).

49854587616 is an abundant number, since it is smaller than the sum of its proper divisors (106185747744).

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

49854587616 is a wasteful number, since it uses less digits than its factorization.

49854587616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2808 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 49854587616 in words is "forty-nine billion, eight hundred fifty-four million, five hundred eighty-seven thousand, six hundred sixteen".