153886778922321 has 9 divisors (see below), whose sum is σ = 222280956643291. Its totient is φ = 102591161137992.

The previous prime is 153886778922287. The next prime is 153886778922341. The reversal of 153886778922321 is 123229877688351.

It is a happy number.

The square root of 153886778922321 is 12405111.

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

153886778922321 is a `hidden beast` number, since 1 + 5 + 388 + 6 + 7 + 7 + 8 + 9 + 2 + 232 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32943180348225 + 120943598574096 = 5739615^2 + 10997436^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 153886778922321 - 2¹⁵ = 153886778889553 is a prime.

It is a super-2 number, since 2×153886778922321² (a number of 29 digits) contains 22 as substring.

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 153886778922321.

It is not an unprimeable number, because it can be changed into a prime (153886778922341) 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, 35147815 + ... + 39282851.

Almost surely, 2^{153886778922321} is an apocalyptic number.

153886778922321 is the 12405111-st square number.

153886778922321 is the 6202556-th centered octagonal number.

It is an amenable number.

153886778922321 is a deficient number, since it is larger than the sum of its proper divisors (68394177720970).

153886778922321 is an frugal number, since it uses more digits than its factorization.

153886778922321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270080 (or 4135040 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 153886778922321 in words is "one hundred fifty-three trillion, eight hundred eighty-six billion, seven hundred seventy-eight million, nine hundred twenty-two thousand, three hundred twenty-one".