11454350625 has 45 divisors (see below), whose sum is σ = 20689346821. Its totient is φ = 6104706000.

The previous prime is 11454350617. The next prime is 11454350711. The reversal of 11454350625 is 52605345411.

The square root of 11454350625 is 107025.

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

11454350625 is a `hidden beast` number, since 1 + 1 + 4 + 543 + 50 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 898021089 + 10556329536 = 29967^2 + 102744^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 11454350625 - 2³ = 11454350617 is a prime.

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 11454350625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8026162 + ... + 8027588.

Almost surely, 2^11454350625 is an apocalyptic number.

11454350625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11454350625 is the 107025-th square number.

11454350625 is the 53513-rd centered octagonal number.

It is an amenable number.

11454350625 is a deficient number, since it is larger than the sum of its proper divisors (9234996196).

11454350625 is an frugal number, since it uses more digits than its factorization.

11454350625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 11454350625 by its sum of digits (36), we get a square (412356622500 = 642150²).

The spelling of 11454350625 in words is "eleven billion, four hundred fifty-four million, three hundred fifty thousand, six hundred twenty-five".