144931070976 has 352 divisors, whose sum is σ = 433521192960. Its totient is φ = 42827710464.

The previous prime is 144931070939. The next prime is 144931070983. The reversal of 144931070976 is 679070139441.

It is a super-3 number, since 3×144931070976³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63094660 + ... + 63096956.

Almost surely, 2^144931070976 is an apocalyptic number.

144931070976 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 144931070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760596480).

144931070976 is an abundant number, since it is smaller than the sum of its proper divisors (288590121984).

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

144931070976 is a wasteful number, since it uses less digits than its factorization.

144931070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 144931070976 in words is "one hundred forty-four billion, nine hundred thirty-one million, seventy thousand, nine hundred seventy-six".