11846049408 has 96 divisors (see below), whose sum is σ = 34305887460. Its totient is φ = 3923472384.

The previous prime is 11846049407. The next prime is 11846049443. The reversal of 11846049408 is 80494064811.

11846049408 is a `hidden beast` number, since 1 + 184 + 60 + 4 + 9 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11700316224 + 145733184 = 108168^2 + 12072^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11846049407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148116 + ... + 213612.

Almost surely, 2^11846049408 is an apocalyptic number.

11846049408 is a gapful number since it is divisible by the number (18) 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 11846049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17152943730).

11846049408 is an abundant number, since it is smaller than the sum of its proper divisors (22459838052).

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

11846049408 is a wasteful number, since it uses less digits than its factorization.

11846049408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65674 (or 65659 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11846049408 in words is "eleven billion, eight hundred forty-six million, forty-nine thousand, four hundred eight".