1418945528025 has 135 divisors (see below), whose sum is σ = 2664511188141. Its totient is φ = 746507612160.

The previous prime is 1418945528003. The next prime is 1418945528081. The reversal of 1418945528025 is 5208255498141.

It is a happy number.

The square root of 1418945528025 is 1191195.

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

1418945528025 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 9 + 4 + 552 + 80 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 348689069001 + 1070256459024 = 590499^2 + 1034532^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-1418945528025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5521188697 + ... + 5521188953.

Almost surely, 2^{1418945528025} is an apocalyptic number.

1418945528025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1418945528025 is the 1191195-th square number.

1418945528025 is the 595598-th centered octagonal number.

It is an amenable number.

1418945528025 is a deficient number, since it is larger than the sum of its proper divisors (1245565660116).

1418945528025 is an frugal number, since it uses more digits than its factorization.

1418945528025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 1418945528025 in words is "one trillion, four hundred eighteen billion, nine hundred forty-five million, five hundred twenty-eight thousand, twenty-five".