11106288501408 has 72 divisors (see below), whose sum is σ = 31695904982196. Its totient is φ = 3688921420800.

The previous prime is 11106288501391. The next prime is 11106288501419. The reversal of 11106288501408 is 80410588260111.

11106288501408 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 62 + 88 + 501 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10723607694864 + 382680806544 = 3274692^2 + 618612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68537403 + ... + 68699258.

Almost surely, 2^{11106288501408} is an apocalyptic number.

11106288501408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11106288501408 is an abundant number, since it is smaller than the sum of its proper divisors (20589616480788).

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

11106288501408 is a wasteful number, since it uses less digits than its factorization.

11106288501408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137236958 (or 137236947 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 11106288501408 in words is "eleven trillion, one hundred six billion, two hundred eighty-eight million, five hundred one thousand, four hundred eight".