11006634413350 has 96 divisors (see below), whose sum is σ = 21034787616000. Its totient is φ = 4283280048000.

The previous prime is 11006634413321. The next prime is 11006634413377. The reversal of 11006634413350 is 5331443660011.

It is a super-2 number, since 2×11006634413350² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804160207 + ... + 804173893.

It is an arithmetic number, because the mean of its divisors is an integer number (219112371000).

Almost surely, 2^{11006634413350} is an apocalyptic number.

11006634413350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11006634413350 is a deficient number, since it is larger than the sum of its proper divisors (10028153202650).

11006634413350 is a wasteful number, since it uses less digits than its factorization.

11006634413350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16558 (or 16553 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 11006634413350 in words is "eleven trillion, six billion, six hundred thirty-four million, four hundred thirteen thousand, three hundred fifty".