18637740951025 has 135 divisors (see below), whose sum is σ = 27473865102411. Its totient is φ = 12541547985120.

The previous prime is 18637740950987. The next prime is 18637740951029. The reversal of 18637740951025 is 52015904773681.

The square root of 18637740951025 is 4317145.

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

It can be written as a sum of positive squares in only one way, i.e., 6709586742369 + 11928154208656 = 2590287^2 + 3453716^2 .

It is a de Polignac number, because none of the positive numbers 2^k-18637740951025 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18637740951029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 70865935044 + ... + 70865935306.

It is a 1-persistent number, because it is pandigital, but 2⋅18637740951025 = 37275481902050 is not.

Almost surely, 2^{18637740951025} is an apocalyptic number.

18637740951025 is the 4317145-th square number.

18637740951025 is the 2158573-rd centered octagonal number.

It is an amenable number.

18637740951025 is a deficient number, since it is larger than the sum of its proper divisors (8836124151386).

18637740951025 is an frugal number, since it uses more digits than its factorization.

18637740951025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 18637740951025 in words is "eighteen trillion, six hundred thirty-seven billion, seven hundred forty million, nine hundred fifty-one thousand, twenty-five".