11440945152 has 576 divisors, whose sum is σ = 42928704000. Its totient is φ = 2850619392.

The previous prime is 11440945123. The next prime is 11440945181. The reversal of 11440945152 is 25154904411.

11440945152 is a `hidden beast` number, since 1 + 14 + 40 + 94 + 515 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11440945123) and next prime (11440945181).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31868749 + ... + 31869107.

It is an arithmetic number, because the mean of its divisors is an integer number (74529000).

Almost surely, 2^11440945152 is an apocalyptic number.

11440945152 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 11440945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352000).

11440945152 is an abundant number, since it is smaller than the sum of its proper divisors (31487758848).

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

11440945152 is a wasteful number, since it uses less digits than its factorization.

11440945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11440945152 in words is "eleven billion, four hundred forty million, nine hundred forty-five thousand, one hundred fifty-two".