153964480001 has 2 divisors, whose sum is σ = 153964480002. Its totient is φ = 153964480000.

The previous prime is 153964479947. The next prime is 153964480027. The reversal of 153964480001 is 100084469351.

153964480001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115208651776 + 38755828225 = 339424^2 + 196865^2 .

It is a cyclic number.

It is not a de Polignac number, because 153964480001 - 2¹⁴ = 153964463617 is a prime.

It is a super-2 number, since 2×153964480001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (153964488001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76982240000 + 76982240001.

It is an arithmetic number, because the mean of its divisors is an integer number (76982240001).

Almost surely, 2^153964480001 is an apocalyptic number.

It is an amenable number.

153964480001 is a deficient number, since it is larger than the sum of its proper divisors (1).

153964480001 is an equidigital number, since it uses as much as digits as its factorization.

153964480001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 153964480001 in words is "one hundred fifty-three billion, nine hundred sixty-four million, four hundred eighty thousand, one".