11419473364992 has 1152 divisors, whose sum is σ = 41979979641600. Its totient is φ = 2904765235200.

The previous prime is 11419473364979. The next prime is 11419473365033. The reversal of 11419473364992 is 29946337491411.

11419473364992 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 9 + 473 + 36 + 49 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15005877892 + ... + 15005878652.

It is an arithmetic number, because the mean of its divisors is an integer number (36440954550).

Almost surely, 2^{11419473364992} is an apocalyptic number.

11419473364992 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 11419473364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20989989820800).

11419473364992 is an abundant number, since it is smaller than the sum of its proper divisors (30560506276608).

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

11419473364992 is a wasteful number, since it uses less digits than its factorization.

11419473364992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 990 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 11419473364992 in words is "eleven trillion, four hundred nineteen billion, four hundred seventy-three million, three hundred sixty-four thousand, nine hundred ninety-two".