11906352192 has 224 divisors, whose sum is σ = 36528890112. Its totient is φ = 3352559616.

The previous prime is 11906352167. The next prime is 11906352193. The reversal of 11906352192 is 29125360911.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11906352192² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11906352192.

It is not an unprimeable number, because it can be changed into a prime (11906352193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51100108 + ... + 51100340.

Almost surely, 2^11906352192 is an apocalyptic number.

11906352192 is a gapful number since it is divisible by the number (12) 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 11906352192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18264445056).

11906352192 is an abundant number, since it is smaller than the sum of its proper divisors (24622537920).

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

11906352192 is a wasteful number, since it uses less digits than its factorization.

11906352192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 11906352192 in words is "eleven billion, nine hundred six million, three hundred fifty-two thousand, one hundred ninety-two".