49462245043600 has 135 divisors (see below), whose sum is σ = 124232460536163. Its totient is φ = 18923447262720.

The previous prime is 49462245043597. The next prime is 49462245043619. The reversal of 49462245043600 is 634054226494.

The square root of 49462245043600 is 7032940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11645863056 + 49450599180544 = 107916^2 + 7032112^2 .

It is a super-3 number, since 3×49462245043600³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3235144756 + ... + 3235160044.

Almost surely, 2^{49462245043600} is an apocalyptic number.

49462245043600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49462245043600 is the 7032940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49462245043600

49462245043600 is an abundant number, since it is smaller than the sum of its proper divisors (74770215492563).

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

49462245043600 is an frugal number, since it uses more digits than its factorization.

49462245043600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30642 (or 15319 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 49462245043600 in words is "forty-nine trillion, four hundred sixty-two billion, two hundred forty-five million, forty-three thousand, six hundred".