287208148002048 has 1296 divisors, whose sum is σ = 1091067989147136. Its totient is φ = 71920052305920.

The previous prime is 287208148002029. The next prime is 287208148002091. The reversal of 287208148002048 is 840200841802782.

287208148002048 is a `hidden beast` number, since 2 + 8 + 7 + 20 + 81 + 480 + 0 + 20 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 287208148001985 and 287208148002003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2411286111 + ... + 2411405217.

It is an arithmetic number, because the mean of its divisors is an integer number (841873448416).

Almost surely, 2^{287208148002048} is an apocalyptic number.

287208148002048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287208148002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545533994573568).

287208148002048 is an abundant number, since it is smaller than the sum of its proper divisors (803859841145088).

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

287208148002048 is a wasteful number, since it uses less digits than its factorization.

287208148002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119240 (or 119216 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 287208148002048 in words is "two hundred eighty-seven trillion, two hundred eight billion, one hundred forty-eight million, two thousand, forty-eight".