11461434600 has 576 divisors, whose sum is σ = 47021990400. Its totient is φ = 2254348800.

The previous prime is 11461434571. The next prime is 11461434641. The reversal of 11461434600 is 643416411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9655207 + ... + 9656393.

It is an arithmetic number, because the mean of its divisors is an integer number (81635400).

Almost surely, 2^11461434600 is an apocalyptic number.

11461434600 is a gapful number since it is divisible by the number (10) 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 11461434600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510995200).

11461434600 is an abundant number, since it is smaller than the sum of its proper divisors (35560555800).

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

11461434600 is a wasteful number, since it uses less digits than its factorization.

11461434600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 11461434600 in words is "eleven billion, four hundred sixty-one million, four hundred thirty-four thousand, six hundred".