47868686438400 has 351 divisors, whose sum is σ = 171479133559461. Its totient is φ = 12763211857920.

The previous prime is 47868686438389. The next prime is 47868686438407. The reversal of 47868686438400 is 483468686874.

The square root of 47868686438400 is 6918720.

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

47868686438400 is a `hidden beast` number, since 4 + 7 + 86 + 86 + 8 + 64 + 3 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17232727117824 + 30635959320576 = 4151232^2 + 5534976^2 .

It is a super-2 number, since 2×47868686438400² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (47868686438407) 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, 6641967597 + ... + 6641974803.

Almost surely, 2^{47868686438400} is an apocalyptic number.

47868686438400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47868686438400 is the 6918720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47868686438400

47868686438400 is an abundant number, since it is smaller than the sum of its proper divisors (123610447121061).

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

47868686438400 is an frugal number, since it uses more digits than its factorization.

47868686438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14454 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 72.

The spelling of 47868686438400 in words is "forty-seven trillion, eight hundred sixty-eight billion, six hundred eighty-six million, four hundred thirty-eight thousand, four hundred".