11464666752 has 384 divisors, whose sum is σ = 38744496000. Its totient is φ = 2939904000.

The previous prime is 11464666727. The next prime is 11464666753. The reversal of 11464666752 is 25766646411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11464666753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32849874 + ... + 32850222.

It is an arithmetic number, because the mean of its divisors is an integer number (100897125).

Almost surely, 2^11464666752 is an apocalyptic number.

11464666752 is a gapful number since it is divisible by the number (12) 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 11464666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372248000).

11464666752 is an abundant number, since it is smaller than the sum of its proper divisors (27279829248).

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

11464666752 is a wasteful number, since it uses less digits than its factorization.

11464666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 473 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 11464666752 in words is "eleven billion, four hundred sixty-four million, six hundred sixty-six thousand, seven hundred fifty-two".