144997764768 has 192 divisors, whose sum is σ = 434275914240. Its totient is φ = 47039385600.

The previous prime is 144997764731. The next prime is 144997764827. The reversal of 144997764768 is 867467799441.

144997764768 is a `hidden beast` number, since 1 + 4 + 499 + 7 + 7 + 64 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 144997764696 and 144997764705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15262996 + ... + 15272492.

It is an arithmetic number, because the mean of its divisors is an integer number (2261853720).

Almost surely, 2^144997764768 is an apocalyptic number.

144997764768 is a gapful number since it is divisible by the number (18) 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 144997764768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217137957120).

144997764768 is an abundant number, since it is smaller than the sum of its proper divisors (289278149472).

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

144997764768 is a wasteful number, since it uses less digits than its factorization.

144997764768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9988 (or 9974 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 144997764768 in words is "one hundred forty-four billion, nine hundred ninety-seven million, seven hundred sixty-four thousand, seven hundred sixty-eight".