11645577090 has 128 divisors (see below), whose sum is σ = 37359360000. Its totient is φ = 2521741248.

The previous prime is 11645577079. The next prime is 11645577091. The reversal of 11645577090 is 9077554611.

11645577090 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 557 + 7 + 0 + 90 = 666.

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 (11645577091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126240 + ... + 198059.

It is an arithmetic number, because the mean of its divisors is an integer number (291870000).

Almost surely, 2^11645577090 is an apocalyptic number.

11645577090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11645577090 is an abundant number, since it is smaller than the sum of its proper divisors (25713782910).

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

11645577090 is a wasteful number, since it uses less digits than its factorization.

11645577090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324341 (or 324335 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 11645577090 in words is "eleven billion, six hundred forty-five million, five hundred seventy-seven thousand, ninety".