11354372640625 has 63 divisors (see below), whose sum is σ = 16514261681151. Its totient is φ = 7783833750000.

The previous prime is 11354372640553. The next prime is 11354372640641. The reversal of 11354372640625 is 52604627345311.

The square root of 11354372640625 is 3369625.

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

11354372640625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9947520452961 + 1406852187664 = 3153969^2 + 1186108^2 .

It is not a de Polignac number, because 11354372640625 - 2²¹ = 11354370543473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2948419950 + ... + 2948423800.

Almost surely, 2^{11354372640625} is an apocalyptic number.

11354372640625 is the 3369625-th square number.

11354372640625 is the 1684813-rd centered octagonal number.

It is an amenable number.

11354372640625 is a deficient number, since it is larger than the sum of its proper divisors (5159889040526).

11354372640625 is an frugal number, since it uses more digits than its factorization.

11354372640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

Multiplying 11354372640625 by its sum of digits (49), we get a square (556364259390625 = 23587375²).

11354372640625 divided by its sum of digits (49) gives a square (231721890625 = 481375²).

Adding to 11354372640625 its reverse (52604627345311), we get a palindrome (63958999985936).

The spelling of 11354372640625 in words is "eleven trillion, three hundred fifty-four billion, three hundred seventy-two million, six hundred forty thousand, six hundred twenty-five".