152406694449 has 63 divisors (see below), whose sum is σ = 241482417339. Its totient is φ = 96130372320.

The previous prime is 152406694403. The next prime is 152406694457. The reversal of 152406694449 is 944496604251.

The square root of 152406694449 is 390393.

It is a perfect power (a square), and thus also a powerful number.

152406694449 is a `hidden beast` number, since 1 + 52 + 4 + 0 + 66 + 94 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400280049 + 152006414400 = 20007^2 + 389880^2 .

It is a de Polignac number, because none of the positive numbers 2^k-152406694449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152406694395 and 152406694404.

It is not an unprimeable number, because it can be changed into a prime (152406694459) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 200271229 + ... + 200271989.

Almost surely, 2^152406694449 is an apocalyptic number.

152406694449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

152406694449 is the 390393-rd square number.

152406694449 is the 195197-th centered octagonal number.

It is an amenable number.

152406694449 is a deficient number, since it is larger than the sum of its proper divisors (89075722890).

152406694449 is an frugal number, since it uses more digits than its factorization.

152406694449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 152406694449 in words is "one hundred fifty-two billion, four hundred six million, six hundred ninety-four thousand, four hundred forty-nine".