287458967104 has 63 divisors (see below), whose sum is σ = 591030281361. Its totient is φ = 138713245440.

The previous prime is 287458967083. The next prime is 287458967143. The reversal of 287458967104 is 401769854782.

The square root of 287458967104 is 536152.

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

It can be written as a sum of positive squares in only one way, i.e., 150736509504 + 136722457600 = 388248^2 + 369760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124386109 + ... + 124388419.

Almost surely, 2^287458967104 is an apocalyptic number.

287458967104 is the 536152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287458967104

287458967104 is an abundant number, since it is smaller than the sum of its proper divisors (303571314257).

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

287458967104 is an frugal number, since it uses more digits than its factorization.

287458967104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 287458967104 in words is "two hundred eighty-seven billion, four hundred fifty-eight million, nine hundred sixty-seven thousand, one hundred four".