49181852160 has 800 divisors, whose sum is σ = 208002972672. Its totient is φ = 10868981760.

The previous prime is 49181852141. The next prime is 49181852207. The reversal of 49181852160 is 6125818194.

It is a happy number.

49181852160 is a `hidden beast` number, since 49 + 1 + 81 + 8 + 521 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44996574 + ... + 44997666.

Almost surely, 2^49181852160 is an apocalyptic number.

49181852160 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 49181852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104001486336).

49181852160 is an abundant number, since it is smaller than the sum of its proper divisors (158821120512).

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

49181852160 is a wasteful number, since it uses less digits than its factorization.

49181852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 49181852160 in words is "forty-nine billion, one hundred eighty-one million, eight hundred fifty-two thousand, one hundred sixty".