11941461504 has 720 divisors, whose sum is σ = 44395662960. Its totient is φ = 3158507520.

The previous prime is 11941461461. The next prime is 11941461533. The reversal of 11941461504 is 40516414911.

11941461504 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 146 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195761634 + ... + 195761694.

It is an arithmetic number, because the mean of its divisors is an integer number (61660643).

Almost surely, 2^11941461504 is an apocalyptic number.

11941461504 is a gapful number since it is divisible by the number (14) 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 11941461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197831480).

11941461504 is an abundant number, since it is smaller than the sum of its proper divisors (32454201456).

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

11941461504 is an equidigital number, since it uses as much as digits as its factorization.

11941461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11941461504 in words is "eleven billion, nine hundred forty-one million, four hundred sixty-one thousand, five hundred four".