145216219680 has 432 divisors, whose sum is σ = 578206301400. Its totient is φ = 33091559424.

The previous prime is 145216219661. The next prime is 145216219711. The reversal of 145216219680 is 86912612541.

145216219680 is a `hidden beast` number, since 1 + 4 + 521 + 62 + 1 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143965607184 + 1250612496 = 379428^2 + 35364^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24622492 + ... + 24628388.

Almost surely, 2^145216219680 is an apocalyptic number.

145216219680 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 145216219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289103150700).

145216219680 is an abundant number, since it is smaller than the sum of its proper divisors (432990081720).

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

145216219680 is a wasteful number, since it uses less digits than its factorization.

145216219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 145216219680 in words is "one hundred forty-five billion, two hundred sixteen million, two hundred nineteen thousand, six hundred eighty".