11165146240 has 64 divisors (see below), whose sum is σ = 27342758520. Its totient is φ = 4357120000.

The previous prime is 11165146229. The next prime is 11165146273. The reversal of 11165146240 is 4264156111.

It can be written as a sum of positive squares in 4 ways, for example, as 4573005376 + 6592140864 = 67624^2 + 81192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11165146240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186511 + ... + 238990.

Almost surely, 2^11165146240 is an apocalyptic number.

11165146240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11165146240 is an abundant number, since it is smaller than the sum of its proper divisors (16177612280).

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

11165146240 is an equidigital number, since it uses as much as digits as its factorization.

11165146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425561 (or 425549 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 11165146240 in words is "eleven billion, one hundred sixty-five million, one hundred forty-six thousand, two hundred forty".