47169698720400 has 135 divisors (see below), whose sum is σ = 163693387302601. Its totient is φ = 12578476437120.

The previous prime is 47169698720393. The next prime is 47169698720407. The reversal of 47169698720400 is 402789696174.

The square root of 47169698720400 is 6868020.

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

47169698720400 is a `hidden beast` number, since 4 + 7 + 169 + 69 + 8 + 7 + 2 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (47169698720393) and next prime (47169698720407).

It can be written as a sum of positive squares in only one way, i.e., 16981091539344 + 30188607181056 = 4120812^2 + 5494416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47169698720407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 412023967 + ... + 412138433.

Almost surely, 2^{47169698720400} is an apocalyptic number.

47169698720400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47169698720400 is the 6868020-th square number.

It is an amenable number.

47169698720400 is an abundant number, since it is smaller than the sum of its proper divisors (116523688582201).

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

47169698720400 is an frugal number, since it uses more digits than its factorization.

47169698720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228958 (or 114477 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 47169698720400 in words is "forty-seven trillion, one hundred sixty-nine billion, six hundred ninety-eight million, seven hundred twenty thousand, four hundred".