11023674480 has 640 divisors, whose sum is σ = 49496832000. Its totient is φ = 2188394496.

The previous prime is 11023674461. The next prime is 11023674511. The reversal of 11023674480 is 8447632011.

11023674480 is a `hidden beast` number, since 1 + 102 + 3 + 6 + 74 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3339871 + ... + 3343169.

It is an arithmetic number, because the mean of its divisors is an integer number (77338800).

Almost surely, 2^11023674480 is an apocalyptic number.

11023674480 is a gapful number since it is divisible by the number (10) 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 11023674480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416000).

11023674480 is an abundant number, since it is smaller than the sum of its proper divisors (38473157520).

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

11023674480 is a wasteful number, since it uses less digits than its factorization.

11023674480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11023674480 in words is "eleven billion, twenty-three million, six hundred seventy-four thousand, four hundred eighty".