144613970351136 has 432 divisors, whose sum is σ = 501699131676288. Its totient is φ = 40451451840000.

The previous prime is 144613970351087. The next prime is 144613970351143. The reversal of 144613970351136 is 631153079316441.

144613970351136 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 1 + 3 + 97 + 0 + 3 + 511 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27614761 + ... + 32431511.

It is an arithmetic number, because the mean of its divisors is an integer number (1161340582584).

Almost surely, 2^{144613970351136} is an apocalyptic number.

144613970351136 is a gapful number since it is divisible by the number (16) 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 144613970351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250849565838144).

144613970351136 is an abundant number, since it is smaller than the sum of its proper divisors (357085161325152).

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

144613970351136 is an equidigital number, since it uses as much as digits as its factorization.

144613970351136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816809 (or 4816780 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 144613970351136 in words is "one hundred forty-four trillion, six hundred thirteen billion, nine hundred seventy million, three hundred fifty-one thousand, one hundred thirty-six".