387287285907456 has 675 divisors, whose sum is σ = 1272612962620153. Its totient is φ = 117284213882880.

The previous prime is 387287285907451. The next prime is 387287285907463. The reversal of 387287285907456 is 654709582782783.

The square root of 387287285907456 is 19679616.

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

387287285907456 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 8 + 72 + 8 + 5 + 90 + 7 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39346012569600 + 347941273337856 = 6272640^2 + 18653184^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (387287285907451) 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, 249380093176 + ... + 249380094728.

Almost surely, 2^{387287285907456} is an apocalyptic number.

387287285907456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

387287285907456 is the 19679616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387287285907456

387287285907456 is an abundant number, since it is smaller than the sum of its proper divisors (885325676712697).

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

387287285907456 is an frugal number, since it uses more digits than its factorization.

387287285907456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 11379916800, while the sum is 81.

387287285907456 divided by its sum of digits (81) gives a square (4781324517376 = 2186624²).

The spelling of 387287285907456 in words is "three hundred eighty-seven trillion, two hundred eighty-seven billion, two hundred eighty-five million, nine hundred seven thousand, four hundred fifty-six".