11464996000 has 72 divisors (see below), whose sum is σ = 28186143804. Its totient is φ = 4583289600.

The previous prime is 11464995967. The next prime is 11464996063. The reversal of 11464996000 is 69946411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 40806544 + 11424189456 = 6388^2 + 106884^2 .

It is a super-2 number, since 2×11464996000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6771154 + ... + 6772846.

Almost surely, 2^11464996000 is an apocalyptic number.

11464996000 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 11464996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14093071902).

11464996000 is an abundant number, since it is smaller than the sum of its proper divisors (16721147804).

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

11464996000 is an frugal number, since it uses more digits than its factorization.

11464996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

Multiplying 11464996000 by its sum of digits (40), we get a square (458599840000 = 677200²).

11464996000 divided by its sum of digits (40) gives a square (286624900 = 16930²).

The spelling of 11464996000 in words is "eleven billion, four hundred sixty-four million, nine hundred ninety-six thousand".