11455675774704 has 400 divisors, whose sum is σ = 40110920593920. Its totient is φ = 3086690664960.

The previous prime is 11455675774663. The next prime is 11455675774717. The reversal of 11455675774704 is 40747757655411.

11455675774704 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 56 + 7 + 577 + 4 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10806469 + ... + 11819099.

Almost surely, 2^{11455675774704} is an apocalyptic number.

11455675774704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11455675774704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055460296960).

11455675774704 is an abundant number, since it is smaller than the sum of its proper divisors (28655244819216).

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

11455675774704 is a wasteful number, since it uses less digits than its factorization.

11455675774704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012730 (or 1012715 counting only the distinct ones).

The product of its (nonzero) digits is 115248000, while the sum is 63.

The spelling of 11455675774704 in words is "eleven trillion, four hundred fifty-five billion, six hundred seventy-five million, seven hundred seventy-four thousand, seven hundred four".