11674494900 has 288 divisors, whose sum is σ = 39966192000. Its totient is φ = 2915066880.

The previous prime is 11674494899. The next prime is 11674494961. The reversal of 11674494900 is 949447611.

11674494900 is a `hidden beast` number, since 1 + 1 + 6 + 74 + 494 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4564422 + ... + 4566978.

It is an arithmetic number, because the mean of its divisors is an integer number (138771500).

Almost surely, 2^11674494900 is an apocalyptic number.

11674494900 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 11674494900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983096000).

11674494900 is an abundant number, since it is smaller than the sum of its proper divisors (28291697100).

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

11674494900 is a wasteful number, since it uses less digits than its factorization.

11674494900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11674494900 in words is "eleven billion, six hundred seventy-four million, four hundred ninety-four thousand, nine hundred".