150414414433452 has 144 divisors (see below), whose sum is σ = 427355518423680. Its totient is φ = 45723751100352.

The previous prime is 150414414433421. The next prime is 150414414433453. The reversal of 150414414433452 is 254334414414051.

150414414433452 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 144 + 14 + 43 + 3 + 452 = 666.

150414414433452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150414414433398 and 150414414433407.

It is not an unprimeable number, because it can be changed into a prime (150414414433453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48129558 + ... + 51159389.

It is an arithmetic number, because the mean of its divisors is an integer number (2967746655720).

Almost surely, 2^{150414414433452} is an apocalyptic number.

150414414433452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150414414433452 is an abundant number, since it is smaller than the sum of its proper divisors (276941103990228).

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

150414414433452 is a wasteful number, since it uses less digits than its factorization.

150414414433452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99289069 (or 99289048 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 150414414433452 in words is "one hundred fifty trillion, four hundred fourteen billion, four hundred fourteen million, four hundred thirty-three thousand, four hundred fifty-two".