145454971968000 has 640 divisors, whose sum is σ = 560697449495040. Its totient is φ = 37101547929600.

The previous prime is 145454971967983. The next prime is 145454971968013. The reversal of 145454971968000 is 869179454541.

145454971968000 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 549 + 7 + 1 + 9 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37914102 + ... + 41573898.

It is an arithmetic number, because the mean of its divisors is an integer number (876089764836).

Almost surely, 2^{145454971968000} is an apocalyptic number.

145454971968000 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 145454971968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280348724747520).

145454971968000 is an abundant number, since it is smaller than the sum of its proper divisors (415242477527040).

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

145454971968000 is an equidigital number, since it uses as much as digits as its factorization.

145454971968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659862 (or 3659830 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 145454971968000 in words is "one hundred forty-five trillion, four hundred fifty-four billion, nine hundred seventy-one million, nine hundred sixty-eight thousand".