11006464635045 has 120 divisors (see below), whose sum is σ = 21708192733920. Its totient is φ = 5331206548800.

The previous prime is 11006464635029. The next prime is 11006464635079. The reversal of 11006464635045 is 54053646460011.

11006464635045 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 4 + 6 + 4 + 635 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 11006464635045 - 2⁴ = 11006464635029 is a prime.

It is a super-2 number, since 2×11006464635045² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49825890 + ... + 50046300.

It is an arithmetic number, because the mean of its divisors is an integer number (180901606116).

Almost surely, 2^{11006464635045} is an apocalyptic number.

11006464635045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11006464635045 is a deficient number, since it is larger than the sum of its proper divisors (10701728098875).

11006464635045 is a wasteful number, since it uses less digits than its factorization.

11006464635045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221469 (or 221449 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 11006464635045 in words is "eleven trillion, six billion, four hundred sixty-four million, six hundred thirty-five thousand, forty-five".