144774471744 has 224 divisors, whose sum is σ = 496340384000. Its totient is φ = 41363965440.

The previous prime is 144774471733. The next prime is 144774471761. The reversal of 144774471744 is 447174477441.

144774471744 is a `hidden beast` number, since 144 + 7 + 7 + 447 + 17 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470574 + ... + 714834.

Almost surely, 2^144774471744 is an apocalyptic number.

144774471744 is a gapful number since it is divisible by the number (14) 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 144774471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248170192000).

144774471744 is an abundant number, since it is smaller than the sum of its proper divisors (351565912256).

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

144774471744 is an equidigital number, since it uses as much as digits as its factorization.

144774471744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244303 (or 244273 counting only the distinct ones).

The product of its digits is 9834496, while the sum is 54.

The spelling of 144774471744 in words is "one hundred forty-four billion, seven hundred seventy-four million, four hundred seventy-one thousand, seven hundred forty-four".