49145616 has 100 divisors (see below), whose sum is σ = 153235852. Its totient is φ = 15116544.

The previous prime is 49145587. The next prime is 49145627. The reversal of 49145616 is 61654194.

49145616 is a `hidden beast` number, since 4 + 91 + 4 + 561 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 15968016 = 5760^2 + 3996^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15390 + ... + 18306.

Almost surely, 2^49145616 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 49145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76617926).

49145616 is an abundant number, since it is smaller than the sum of its proper divisors (104090236).

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

49145616 is a wasteful number, since it uses less digits than its factorization.

49145616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2935 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 49145616 is about 7010.3934269055. The cubic root of 49145616 is about 366.2926978685.

The spelling of 49145616 in words is "forty-nine million, one hundred forty-five thousand, six hundred sixteen".