11610238464 has 320 divisors, whose sum is σ = 37861148160. Its totient is φ = 3512678400.

The previous prime is 11610238457. The next prime is 11610238469. The reversal of 11610238464 is 46483201611.

11610238464 is a `hidden beast` number, since 1 + 1 + 610 + 2 + 38 + 4 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11610238469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18399429 + ... + 18400059.

It is an arithmetic number, because the mean of its divisors is an integer number (118316088).

Almost surely, 2^11610238464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11610238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18930574080).

11610238464 is an abundant number, since it is smaller than the sum of its proper divisors (26250909696).

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

11610238464 is an frugal number, since it uses more digits than its factorization.

11610238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11610238464 in words is "eleven billion, six hundred ten million, two hundred thirty-eight thousand, four hundred sixty-four".