1086249114225 has 96 divisors (see below), whose sum is σ = 2198441969280. Its totient is φ = 521451360000.

The previous prime is 1086249114221. The next prime is 1086249114227. The reversal of 1086249114225 is 5224119426801.

1086249114225 is a `hidden beast` number, since 1 + 0 + 8 + 624 + 9 + 1 + 14 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 1086249114225 - 2² = 1086249114221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1086249114221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25687 + ... + 1474163.

It is an arithmetic number, because the mean of its divisors is an integer number (22900437180).

Almost surely, 2^{1086249114225} is an apocalyptic number.

1086249114225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1086249114225 is an abundant number, since it is smaller than the sum of its proper divisors (1112192855055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1086249114225 is a wasteful number, since it uses less digits than its factorization.

1086249114225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448608 (or 1448597 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1086249114225 in words is "one trillion, eighty-six billion, two hundred forty-nine million, one hundred fourteen thousand, two hundred twenty-five".