146094720768000 has 3840 divisors, whose sum is σ = 617091534259200. Its totient is φ = 34186199040000.

The previous prime is 146094720767999. The next prime is 146094720768013. The reversal of 146094720768000 is 867027490641.

146094720768000 is a `hidden beast` number, since 1 + 4 + 609 + 4 + 7 + 20 + 7 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 316908287770 + ... + 316908288230.

It is an arithmetic number, because the mean of its divisors is an integer number (160700920380).

Almost surely, 2^{146094720768000} is an apocalyptic number.

146094720768000 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 146094720768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308545767129600).

146094720768000 is an abundant number, since it is smaller than the sum of its proper divisors (470996813491200).

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

146094720768000 is a wasteful number, since it uses less digits than its factorization.

146094720768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 146094720768000 in words is "one hundred forty-six trillion, ninety-four billion, seven hundred twenty million, seven hundred sixty-eight thousand".