11012106340416 has 112 divisors (see below), whose sum is σ = 30404544979968. Its totient is φ = 3510926707200.

The previous prime is 11012106340337. The next prime is 11012106340457. The reversal of 11012106340416 is 61404360121011.

It is a super-3 number, since 3×11012106340416³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106334101 + ... + 106437611.

Almost surely, 2^{11012106340416} is an apocalyptic number.

11012106340416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11012106340416 is an abundant number, since it is smaller than the sum of its proper divisors (19392438639552).

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

11012106340416 is a wasteful number, since it uses less digits than its factorization.

11012106340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127640 (or 127630 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 11012106340416 its reverse (61404360121011), we get a palindrome (72416466461427).

The spelling of 11012106340416 in words is "eleven trillion, twelve billion, one hundred six million, three hundred forty thousand, four hundred sixteen".