185503351401 has 9 divisors (see below), whose sum is σ = 267951151741. Its totient is φ = 123668039532.

The previous prime is 185503351309. The next prime is 185503351457. The reversal of 185503351401 is 104153305581.

It is a happy number.

The square root of 185503351401 is 430701.

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

185503351401 is a `hidden beast` number, since 1 + 8 + 5 + 503 + 3 + 5 + 140 + 1 = 666.

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

It is not a de Polignac number, because 185503351401 - 2¹⁵ = 185503318633 is a prime.

It is a super-2 number, since 2×185503351401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (185503351471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1220320 + ... + 1363886.

Almost surely, 2^185503351401 is an apocalyptic number.

185503351401 is the 430701-st square number.

185503351401 is the 215351-st centered octagonal number.

It is an amenable number.

185503351401 is a deficient number, since it is larger than the sum of its proper divisors (82447800340).

185503351401 is an frugal number, since it uses more digits than its factorization.

185503351401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287140 (or 143570 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Multiplying 185503351401 by its sum of digits (36), we get a square (6678120650436 = 2584206²).

Adding to 185503351401 its reverse (104153305581), we get a palindrome (289656656982).

The spelling of 185503351401 in words is "one hundred eighty-five billion, five hundred three million, three hundred fifty-one thousand, four hundred one".