153670906509649 has 9 divisors (see below), whose sum is σ = 155999578044891. Its totient is φ = 151376492727240.

The previous prime is 153670906509577. The next prime is 153670906509691. The reversal of 153670906509649 is 946905609076351.

The square root of 153670906509649 is 12396407.

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

It can be written as a sum of positive squares in only one way, i.e., 153269178717249 + 401727792400 = 12380193^2 + 633820^2 .

It is not a de Polignac number, because 153670906509649 - 2³⁹ = 153121150695761 is a prime.

It is a super-2 number, since 2×153670906509649² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153670906509149) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 830466759 + ... + 830651779.

Almost surely, 2^{153670906509649} is an apocalyptic number.

153670906509649 is the 12396407-th square number.

153670906509649 is the 6198204-th centered octagonal number.

It is an amenable number.

153670906509649 is a deficient number, since it is larger than the sum of its proper divisors (2328671535242).

153670906509649 is an frugal number, since it uses more digits than its factorization.

153670906509649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370176 (or 185088 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 70.

The spelling of 153670906509649 in words is "one hundred fifty-three trillion, six hundred seventy billion, nine hundred six million, five hundred nine thousand, six hundred forty-nine".