11674846560 has 384 divisors, whose sum is σ = 42261657984. Its totient is φ = 2683699200.

The previous prime is 11674846559. The next prime is 11674846619. The reversal of 11674846560 is 6564847611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16654210 + ... + 16654910.

It is an arithmetic number, because the mean of its divisors is an integer number (110056401).

Almost surely, 2^11674846560 is an apocalyptic number.

11674846560 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 11674846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21130828992).

11674846560 is an abundant number, since it is smaller than the sum of its proper divisors (30586811424).

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

11674846560 is a wasteful number, since it uses less digits than its factorization.

11674846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 11674846560 in words is "eleven billion, six hundred seventy-four million, eight hundred forty-six thousand, five hundred sixty".