185016988389025 has 27 divisors (see below), whose sum is σ = 248427548132409. Its totient is φ = 136627276986720.

The previous prime is 185016988389011. The next prime is 185016988389029. The reversal of 185016988389025 is 520983889610581.

The square root of 185016988389025 is 13602095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 47688402451041 + 137328585937984 = 6905679^2 + 11718728^2 .

It is not a de Polignac number, because 185016988389025 - 2²⁹ = 185016451518113 is a prime.

It is a super-2 number, since 2×185016988389025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (185016988389029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 884031544 + ... + 884240806.

Almost surely, 2^{185016988389025} is an apocalyptic number.

185016988389025 is the 13602095-th square number.

185016988389025 is the 6801048-th centered octagonal number.

It is an amenable number.

185016988389025 is a deficient number, since it is larger than the sum of its proper divisors (63410559743384).

185016988389025 is an frugal number, since it uses more digits than its factorization.

185016988389025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418562 (or 209281 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 73.

The spelling of 185016988389025 in words is "one hundred eighty-five trillion, sixteen billion, nine hundred eighty-eight million, three hundred eighty-nine thousand, twenty-five".