145269399456 has 120 divisors (see below), whose sum is σ = 431153678340. Its totient is φ = 47978790912.

The previous prime is 145269399439. The next prime is 145269399463. The reversal of 145269399456 is 654993962541.

145269399456 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 6 + 93 + 99 + 456 = 666.

145269399456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 118967047056 + 26302352400 = 344916^2 + 162180^2 .

It is a super-2 number, since 2×145269399456² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145269399393 and 145269399402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25440 + ... + 539616.

Almost surely, 2^145269399456 is an apocalyptic number.

145269399456 is a gapful number since it is divisible by the number (16) 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 145269399456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215576839170).

145269399456 is an abundant number, since it is smaller than the sum of its proper divisors (285884278884).

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

145269399456 is a wasteful number, since it uses less digits than its factorization.

145269399456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514308 (or 514291 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 145269399456 in words is "one hundred forty-five billion, two hundred sixty-nine million, three hundred ninety-nine thousand, four hundred fifty-six".