445780147148000 has 576 divisors, whose sum is σ = 1297032837609600. Its totient is φ = 147496907980800.

The previous prime is 445780147147949. The next prime is 445780147148027. The reversal of 445780147148000 is 841741087544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73210728956 + ... + 73210735044.

It is an arithmetic number, because the mean of its divisors is an integer number (2251793120850).

Almost surely, 2^{445780147148000} is an apocalyptic number.

445780147148000 is a gapful number since it is divisible by the number (40) 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 445780147148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648516418804800).

445780147148000 is an abundant number, since it is smaller than the sum of its proper divisors (851252690461600).

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

445780147148000 is a wasteful number, since it uses less digits than its factorization.

445780147148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 53.

The spelling of 445780147148000 in words is "four hundred forty-five trillion, seven hundred eighty billion, one hundred forty-seven million, one hundred forty-eight thousand".