11422036201968 has 180 divisors, whose sum is σ = 37228158807840. Its totient is φ = 3259629209088.

The previous prime is 11422036201943. The next prime is 11422036201993. The reversal of 11422036201968 is 86910263022411.

11422036201968 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 0 + 3 + 620 + 19 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11422036201943) and next prime (11422036201993).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5102553 + ... + 6991431.

It is an arithmetic number, because the mean of its divisors is an integer number (206823104488).

Almost surely, 2^{11422036201968} is an apocalyptic number.

11422036201968 is a gapful number since it is divisible by the number (18) 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 11422036201968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614079403920).

11422036201968 is an abundant number, since it is smaller than the sum of its proper divisors (25806122605872).

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

11422036201968 is a wasteful number, since it uses less digits than its factorization.

11422036201968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889764 (or 1889748 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11422036201968 in words is "eleven trillion, four hundred twenty-two billion, thirty-six million, two hundred one thousand, nine hundred sixty-eight".