153348098845201 has 16 divisors (see below), whose sum is σ = 166201675604496. Its totient is φ = 140646617968896.

The previous prime is 153348098845133. The next prime is 153348098845211. The reversal of 153348098845201 is 102548890843351.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32689001601 + 153315409843600 = 180801^2 + 12382060^2 .

It is not a de Polignac number, because 153348098845201 - 2¹⁹ = 153348098320913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 153348098845201.

It is not an unprimeable number, because it can be changed into a prime (153348098845211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17508450 + ... + 24763723.

It is an arithmetic number, because the mean of its divisors is an integer number (10387604725281).

Almost surely, 2^{153348098845201} is an apocalyptic number.

It is an amenable number.

153348098845201 is a deficient number, since it is larger than the sum of its proper divisors (12853576759295).

153348098845201 is a wasteful number, since it uses less digits than its factorization.

153348098845201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42273972.

The product of its (nonzero) digits is 33177600, while the sum is 61.

The spelling of 153348098845201 in words is "one hundred fifty-three trillion, three hundred forty-eight billion, ninety-eight million, eight hundred forty-five thousand, two hundred one".