144108276480 has 864 divisors, whose sum is σ = 622993932288. Its totient is φ = 29992550400.

The previous prime is 144108276457. The next prime is 144108276517. The reversal of 144108276480 is 84672801441.

144108276480 is a `hidden beast` number, since 1 + 44 + 108 + 27 + 6 + 480 = 666.

It is a super-2 number, since 2×144108276480² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42495585 + ... + 42498975.

It is an arithmetic number, because the mean of its divisors is an integer number (721057792).

Almost surely, 2^144108276480 is an apocalyptic number.

144108276480 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 144108276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311496966144).

144108276480 is an abundant number, since it is smaller than the sum of its proper divisors (478885655808).

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

144108276480 is a wasteful number, since it uses less digits than its factorization.

144108276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 144108276480 in words is "one hundred forty-four billion, one hundred eight million, two hundred seventy-six thousand, four hundred eighty".