144353997170880 has 896 divisors, whose sum is σ = 551666849513472. Its totient is φ = 31267735437312.

The previous prime is 144353997170861. The next prime is 144353997170897. The reversal of 144353997170880 is 88071799353441.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7924127532 + ... + 7924145748.

It is an arithmetic number, because the mean of its divisors is an integer number (615699608832).

Almost surely, 2^{144353997170880} is an apocalyptic number.

144353997170880 is a gapful number since it is divisible by the number (10) 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 144353997170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275833424756736).

144353997170880 is an abundant number, since it is smaller than the sum of its proper divisors (407312852342592).

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

144353997170880 is a wasteful number, since it uses less digits than its factorization.

144353997170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18741 (or 18731 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 144353997170880 in words is "one hundred forty-four trillion, three hundred fifty-three billion, nine hundred ninety-seven million, one hundred seventy thousand, eight hundred eighty".