13992264000 has 1120 divisors, whose sum is σ = 61216227072. Its totient is φ = 3110400000.

The previous prime is 13992263983. The next prime is 13992264017. The reversal of 13992264000 is 46229931.

13992264000 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 2 + 2 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13992263983) and next prime (13992264017).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92663925 + ... + 92664075.

Almost surely, 2^13992264000 is an apocalyptic number.

13992264000 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 13992264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30608113536).

13992264000 is an abundant number, since it is smaller than the sum of its proper divisors (47223963072).

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

13992264000 is a wasteful number, since it uses less digits than its factorization.

13992264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13992264000 in words is "thirteen billion, nine hundred ninety-two million, two hundred sixty-four thousand".