11662052406354 has 640 divisors, whose sum is σ = 32939368906752. Its totient is φ = 3011674659840.

The previous prime is 11662052406353. The next prime is 11662052406373. The reversal of 11662052406354 is 45360425026611.

11662052406354 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 2 + 0 + 5 + 2 + 4 + 0 + 635 + 4 = 666.

11662052406354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11662052406353) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5839784884 + ... + 5839786880.

Almost surely, 2^{11662052406354} is an apocalyptic number.

11662052406354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11662052406354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469684453376).

11662052406354 is an abundant number, since it is smaller than the sum of its proper divisors (21277316500398).

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

11662052406354 is a wasteful number, since it uses less digits than its factorization.

11662052406354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2243 counting only the distinct ones).

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

The spelling of 11662052406354 in words is "eleven trillion, six hundred sixty-two billion, fifty-two million, four hundred six thousand, three hundred fifty-four".