145048216320 has 1296 divisors, whose sum is σ = 626973355008. Its totient is φ = 31979888640.

The previous prime is 145048216307. The next prime is 145048216363. The reversal of 145048216320 is 23612840541.

It is a happy number.

145048216320 is a `hidden beast` number, since 1 + 450 + 48 + 2 + 163 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×145048216320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 472469607 + ... + 472469913.

Almost surely, 2^145048216320 is an apocalyptic number.

145048216320 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 145048216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313486677504).

145048216320 is an abundant number, since it is smaller than the sum of its proper divisors (481925138688).

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

145048216320 is an equidigital number, since it uses as much as digits as its factorization.

145048216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 145048216320 in words is "one hundred forty-five billion, forty-eight million, two hundred sixteen thousand, three hundred twenty".