11674093631832 has 256 divisors, whose sum is σ = 33037490304000. Its totient is φ = 3818905574400.

The previous prime is 11674093631801. The next prime is 11674093631839. The reversal of 11674093631832 is 23813639047611.

11674093631832 is a `hidden beast` number, since 1 + 1 + 67 + 40 + 9 + 363 + 183 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11674093631839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4182762357 + ... + 4182765147.

It is an arithmetic number, because the mean of its divisors is an integer number (129052696500).

Almost surely, 2^{11674093631832} is an apocalyptic number.

11674093631832 is a gapful number since it is divisible by the number (12) 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 11674093631832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518745152000).

11674093631832 is an abundant number, since it is smaller than the sum of its proper divisors (21363396672168).

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

11674093631832 is a wasteful number, since it uses less digits than its factorization.

11674093631832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 11674093631832 in words is "eleven trillion, six hundred seventy-four billion, ninety-three million, six hundred thirty-one thousand, eight hundred thirty-two".