11429320464 has 135 divisors (see below), whose sum is σ = 32754458919. Its totient is φ = 3720398400.

The previous prime is 11429320447. The next prime is 11429320543. The reversal of 11429320464 is 46402392411.

The square root of 11429320464 is 106908.

It is a perfect power (a square), and thus also a powerful number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75690789 + ... + 75690939.

Almost surely, 2^11429320464 is an apocalyptic number.

11429320464 is the 106908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11429320464

11429320464 is an abundant number, since it is smaller than the sum of its proper divisors (21325138455).

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

11429320464 is an equidigital number, since it uses as much as digits as its factorization.

11429320464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 11429320464 by its sum of digits (36), we get a square (411455536704 = 641448²).

11429320464 divided by its sum of digits (36) gives a square (317481124 = 17818²).

The spelling of 11429320464 in words is "eleven billion, four hundred twenty-nine million, three hundred twenty thousand, four hundred sixty-four".