153402461462201 has 64 divisors (see below), whose sum is σ = 185238073912320. Its totient is φ = 124197572505600.

The previous prime is 153402461462197. The next prime is 153402461462311. The reversal of 153402461462201 is 102264164204351.

153402461462201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 153402461462201 - 2² = 153402461462197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153402461464201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28008480275 + ... + 28008485751.

It is an arithmetic number, because the mean of its divisors is an integer number (2894344904880).

Almost surely, 2^{153402461462201} is an apocalyptic number.

It is an amenable number.

153402461462201 is a deficient number, since it is larger than the sum of its proper divisors (31835612450119).

153402461462201 is a wasteful number, since it uses less digits than its factorization.

153402461462201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9834.

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 153402461462201 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, four hundred sixty-two thousand, two hundred one".