144553940175456 has 1152 divisors, whose sum is σ = 519011465656320. Its totient is φ = 39435435325440.

The previous prime is 144553940175389. The next prime is 144553940175511. The reversal of 144553940175456 is 654571049355441.

144553940175456 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 5 + 3 + 9 + 4 + 0 + 175 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144553940175393 and 144553940175402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57339919476 + ... + 57339921996.

It is an arithmetic number, because the mean of its divisors is an integer number (450530786160).

Almost surely, 2^{144553940175456} is an apocalyptic number.

144553940175456 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 144553940175456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259505732828160).

144553940175456 is an abundant number, since it is smaller than the sum of its proper divisors (374457525480864).

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

144553940175456 is an equidigital number, since it uses as much as digits as its factorization.

144553940175456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 144553940175456 in words is "one hundred forty-four trillion, five hundred fifty-three billion, nine hundred forty million, one hundred seventy-five thousand, four hundred fifty-six".