145090870645248 has 1600 divisors, whose sum is σ = 499267738569600. Its totient is φ = 41555660636160.

The previous prime is 145090870645229. The next prime is 145090870645289. The reversal of 145090870645248 is 842546078090541.

It is a happy number.

145090870645248 is a `hidden beast` number, since 1 + 4 + 50 + 90 + 8 + 7 + 0 + 6 + 452 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88632174286 + ... + 88632175922.

It is an arithmetic number, because the mean of its divisors is an integer number (312042336606).

Almost surely, 2^{145090870645248} is an apocalyptic number.

145090870645248 is a gapful number since it is divisible by the number (18) 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 145090870645248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249633869284800).

145090870645248 is an abundant number, since it is smaller than the sum of its proper divisors (354176867924352).

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

145090870645248 is a wasteful number, since it uses less digits than its factorization.

145090870645248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 145090870645248 in words is "one hundred forty-five trillion, ninety billion, eight hundred seventy million, six hundred forty-five thousand, two hundred forty-eight".