49356618382080 has 360 divisors, whose sum is σ = 180364620123072. Its totient is φ = 12881726078976.

The previous prime is 49356618382073. The next prime is 49356618382103. The reversal of 49356618382080 is 8028381665394.

It is a happy number.

49356618382080 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 6 + 618 + 3 + 8 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×49356618382080² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49356618381999 and 49356618382017.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191377 + ... + 9937296.

Almost surely, 2^{49356618382080} is an apocalyptic number.

49356618382080 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 49356618382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90182310061536).

49356618382080 is an abundant number, since it is smaller than the sum of its proper divisors (131008001740992).

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

49356618382080 is a wasteful number, since it uses less digits than its factorization.

49356618382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128753 (or 10128730 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 49356618382080 in words is "forty-nine trillion, three hundred fifty-six billion, six hundred eighteen million, three hundred eighty-two thousand, eighty".