11725577046 has 96 divisors (see below), whose sum is σ = 27361152000. Its totient is φ = 3617936064.

The previous prime is 11725577041. The next prime is 11725577057. The reversal of 11725577046 is 64077552711.

11725577046 is a `hidden beast` number, since 1 + 1 + 72 + 5 + 577 + 0 + 4 + 6 = 666.

It is a super-3 number, since 3×11725577046³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11725576992 and 11725577010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11725577041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3489115 + ... + 3492473.

It is an arithmetic number, because the mean of its divisors is an integer number (285012000).

Almost surely, 2^11725577046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11725577046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680576000).

11725577046 is an abundant number, since it is smaller than the sum of its proper divisors (15635574954).

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

11725577046 is a wasteful number, since it uses less digits than its factorization.

11725577046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 11725577046 in words is "eleven billion, seven hundred twenty-five million, five hundred seventy-seven thousand, forty-six".