290400048245664 has 96 divisors (see below), whose sum is σ = 968000160839040. Its totient is φ = 82971442354176.

The previous prime is 290400048245653. The next prime is 290400048245729. The reversal of 290400048245664 is 466542840004092.

290400048245664 is a `hidden beast` number, since 2 + 90 + 4 + 0 + 0 + 0 + 48 + 2 + 456 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 290400048245664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24007934449 + ... + 24007946544.

It is an arithmetic number, because the mean of its divisors is an integer number (10083335008740).

Almost surely, 2^{290400048245664} is an apocalyptic number.

290400048245664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290400048245664 is an abundant number, since it is smaller than the sum of its proper divisors (677600112593376).

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

290400048245664 is a wasteful number, since it uses less digits than its factorization.

290400048245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48015881019 (or 48015881005 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 290400048245664 in words is "two hundred ninety trillion, four hundred billion, forty-eight million, two hundred forty-five thousand, six hundred sixty-four".