11098419182041 has 9 divisors (see below), whose sum is σ = 11180480637949. Its totient is φ = 11016955748704.

The previous prime is 11098419182003. The next prime is 11098419182069. The reversal of 11098419182041 is 14028191489011.

It is a happy number.

The square root of 11098419182041 is 3331429.

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

It can be written as a sum of positive squares in 4 ways, for example, as 814724669641 + 10283694512400 = 902621^2 + 3206820^2 .

It is not a de Polignac number, because 11098419182041 - 2²³ = 11098410793433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11098419182441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 456393615 + ... + 456417931.

Almost surely, 2^{11098419182041} is an apocalyptic number.

11098419182041 is the 3331429-th square number.

11098419182041 is the 1665715-th centered octagonal number.

It is an amenable number.

11098419182041 is a deficient number, since it is larger than the sum of its proper divisors (82061455908).

11098419182041 is an frugal number, since it uses more digits than its factorization.

11098419182041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48908 (or 24454 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 49.

Multiplying 11098419182041 by its sum of digits (49), we get a square (543822539920009 = 23320003²).

The spelling of 11098419182041 in words is "eleven trillion, ninety-eight billion, four hundred nineteen million, one hundred eighty-two thousand, forty-one".