144900700492968 has 384 divisors, whose sum is σ = 479408788684800. Its totient is φ = 38644823467008.

The previous prime is 144900700492949. The next prime is 144900700492969. The reversal of 144900700492968 is 869294007009441.

144900700492968 is a `hidden beast` number, since 1 + 449 + 0 + 0 + 70 + 0 + 49 + 29 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (144900700492969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92924905 + ... + 94471367.

It is an arithmetic number, because the mean of its divisors is an integer number (1248460387200).

Almost surely, 2^{144900700492968} is an apocalyptic number.

144900700492968 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 144900700492968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239704394342400).

144900700492968 is an abundant number, since it is smaller than the sum of its proper divisors (334508088191832).

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

144900700492968 is a wasteful number, since it uses less digits than its factorization.

144900700492968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546701 (or 1546694 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 144900700492968 in words is "one hundred forty-four trillion, nine hundred billion, seven hundred million, four hundred ninety-two thousand, nine hundred sixty-eight".