287404965318912 has 1152 divisors, whose sum is σ = 1006301033472000. Its totient is φ = 72399290793984.

The previous prime is 287404965318899. The next prime is 287404965318937. The reversal of 287404965318912 is 219813569404782.

It is a super-2 number, since 2×287404965318912² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4259268918 + ... + 4259336394.

It is a 1-persistent number, because it is pandigital, but 2⋅287404965318912 = 574809930637824 is not.

Almost surely, 2^{287404965318912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287404965318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503150516736000).

287404965318912 is an abundant number, since it is smaller than the sum of its proper divisors (718896068153088).

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

287404965318912 is a wasteful number, since it uses less digits than its factorization.

287404965318912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67596 (or 67568 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 287404965318912 in words is "two hundred eighty-seven trillion, four hundred four billion, nine hundred sixty-five million, three hundred eighteen thousand, nine hundred twelve".