144864978336 has 384 divisors, whose sum is σ = 480217248000. Its totient is φ = 42118299648.

The previous prime is 144864978319. The next prime is 144864978353. The reversal of 144864978336 is 633879468441.

It is a happy number.

144864978336 is a `hidden beast` number, since 1 + 4 + 486 + 49 + 7 + 83 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (144864978319) and next prime (144864978353).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121428556 + ... + 121429748.

It is an arithmetic number, because the mean of its divisors is an integer number (1250565750).

Almost surely, 2^144864978336 is an apocalyptic number.

144864978336 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 144864978336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240108624000).

144864978336 is an abundant number, since it is smaller than the sum of its proper divisors (335352269664).

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

144864978336 is a wasteful number, since it uses less digits than its factorization.

144864978336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1799 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 144864978336 in words is "one hundred forty-four billion, eight hundred sixty-four million, nine hundred seventy-eight thousand, three hundred thirty-six".