11670801408 has 220 divisors, whose sum is σ = 39832032592. Its totient is φ = 3334348800.

The previous prime is 11670801407. The next prime is 11670801409. The reversal of 11670801408 is 80410807611.

It is an interprime number because it is at equal distance from previous prime (11670801407) and next prime (11670801409).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11670801403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 570558 + ... + 590658.

Almost surely, 2^11670801408 is an apocalyptic number.

11670801408 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 11670801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19916016296).

11670801408 is an abundant number, since it is smaller than the sum of its proper divisors (28161231184).

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

11670801408 is an equidigital number, since it uses as much as digits as its factorization.

11670801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20140 (or 20113 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11670801408 in words is "eleven billion, six hundred seventy million, eight hundred one thousand, four hundred eight".