144913766400 has 864 divisors, whose sum is σ = 592201471680. Its totient is φ = 33549189120.

The previous prime is 144913766377. The next prime is 144913766407. The reversal of 144913766400 is 4667319441.

144913766400 is a `hidden beast` number, since 14 + 49 + 137 + 66 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144913766407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 101836089 + ... + 101837511.

It is an arithmetic number, because the mean of its divisors is an integer number (685418370).

Almost surely, 2^144913766400 is an apocalyptic number.

144913766400 is a gapful number since it is divisible by the number (10) 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 144913766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296100735840).

144913766400 is an abundant number, since it is smaller than the sum of its proper divisors (447287705280).

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

144913766400 is a wasteful number, since it uses less digits than its factorization.

144913766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 144913766400 in words is "one hundred forty-four billion, nine hundred thirteen million, seven hundred sixty-six thousand, four hundred".