288038354961 has 32 divisors (see below), whose sum is σ = 465654415360. Its totient is φ = 154702711296.

The previous prime is 288038354953. The next prime is 288038355013. The reversal of 288038354961 is 169453830882.

It is not a de Polignac number, because 288038354961 - 2³ = 288038354953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288038354921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2791456 + ... + 2892801.

It is an arithmetic number, because the mean of its divisors is an integer number (14551700480).

Almost surely, 2^288038354961 is an apocalyptic number.

288038354961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

288038354961 is a deficient number, since it is larger than the sum of its proper divisors (177616060399).

288038354961 is a wasteful number, since it uses less digits than its factorization.

288038354961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684413.

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 288038354961 in words is "two hundred eighty-eight billion, thirty-eight million, three hundred fifty-four thousand, nine hundred sixty-one".