144311976864 has 528 divisors, whose sum is σ = 477299348064. Its totient is φ = 42578265600.

The previous prime is 144311976847. The next prime is 144311976881. The reversal of 144311976864 is 468679113441.

It is a happy number.

144311976864 is a `hidden beast` number, since 1 + 4 + 431 + 1 + 97 + 68 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (144311976847) and next prime (144311976881).

It is a tau number, because it is divible by the number of its divisors (528).

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 144311976864.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1101618079 + ... + 1101618209.

It is an arithmetic number, because the mean of its divisors is an integer number (903976038).

Almost surely, 2^144311976864 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 144311976864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238649674032).

144311976864 is an abundant number, since it is smaller than the sum of its proper divisors (332987371200).

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

144311976864 is an equidigital number, since it uses as much as digits as its factorization.

144311976864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 200 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 144311976864 in words is "one hundred forty-four billion, three hundred eleven million, nine hundred seventy-six thousand, eight hundred sixty-four".