51470904384 has 315 divisors, whose sum is σ = 160670759557. Its totient is φ = 16291224576.

The previous prime is 51470904379. The next prime is 51470904389. The reversal of 51470904384 is 48340907415.

The square root of 51470904384 is 226872.

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

51470904384 is a `hidden beast` number, since 51 + 470 + 90 + 43 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (51470904379) and next prime (51470904389).

It can be written as a sum of positive squares in only one way, i.e., 30234254400 + 21236649984 = 173880^2 + 145728^2 .

It is a super-3 number, since 3×51470904384³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51470904389) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 375699964 + ... + 375700100.

Almost surely, 2^51470904384 is an apocalyptic number.

51470904384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51470904384 is the 226872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51470904384

51470904384 is an abundant number, since it is smaller than the sum of its proper divisors (109199855173).

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

51470904384 is an equidigital number, since it uses as much as digits as its factorization.

51470904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51470904384 in words is "fifty-one billion, four hundred seventy million, nine hundred four thousand, three hundred eighty-four".