11990506464 has 144 divisors (see below), whose sum is σ = 36898872192. Its totient is φ = 3823003008.

The previous prime is 11990506459. The next prime is 11990506469. The reversal of 11990506464 is 46460509911.

It is a happy number.

11990506464 is a `hidden beast` number, since 1 + 19 + 90 + 506 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11990506459) and next prime (11990506469).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11990506469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145327 + ... + 212369.

It is an arithmetic number, because the mean of its divisors is an integer number (256242168).

Almost surely, 2^11990506464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11990506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449436096).

11990506464 is an abundant number, since it is smaller than the sum of its proper divisors (24908365728).

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

11990506464 is an equidigital number, since it uses as much as digits as its factorization.

11990506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67091 (or 67071 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11990506464 in words is "eleven billion, nine hundred ninety million, five hundred six thousand, four hundred sixty-four".