11483379072 has 192 divisors, whose sum is σ = 37384925760. Its totient is φ = 3479708160.

The previous prime is 11483379041. The next prime is 11483379109. The reversal of 11483379072 is 27097338411.

11483379072 is a `hidden beast` number, since 11 + 483 + 3 + 7 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11483379072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325363 + ... + 358925.

It is an arithmetic number, because the mean of its divisors is an integer number (194713155).

Almost surely, 2^11483379072 is an apocalyptic number.

11483379072 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 11483379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692462880).

11483379072 is an abundant number, since it is smaller than the sum of its proper divisors (25901546688).

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

11483379072 is an equidigital number, since it uses as much as digits as its factorization.

11483379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33603 (or 33579 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11483379072 in words is "eleven billion, four hundred eighty-three million, three hundred seventy-nine thousand, seventy-two".