49354107003360 has 288 divisors, whose sum is σ = 170133665974272. Its totient is φ = 13027452779520.

The previous prime is 49354107003307. The next prime is 49354107003389. The reversal of 49354107003360 is 6330070145394.

49354107003360 is a `hidden beast` number, since 4 + 9 + 3 + 541 + 0 + 70 + 0 + 3 + 36 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189542377 + ... + 189802583.

It is an arithmetic number, because the mean of its divisors is an integer number (590741895744).

Almost surely, 2^{49354107003360} is an apocalyptic number.

49354107003360 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 49354107003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85066832987136).

49354107003360 is an abundant number, since it is smaller than the sum of its proper divisors (120779558970912).

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

49354107003360 is a wasteful number, since it uses less digits than its factorization.

49354107003360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261566 (or 261555 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 49354107003360 in words is "forty-nine trillion, three hundred fifty-four billion, one hundred seven million, three thousand, three hundred sixty".