11146099514400 has 432 divisors, whose sum is σ = 39719689027200. Its totient is φ = 2940942950400.

The previous prime is 11146099514371. The next prime is 11146099514443. The reversal of 11146099514400 is 441599064111.

11146099514400 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 6 + 0 + 99 + 514 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487334965 + ... + 487357835.

It is an arithmetic number, because the mean of its divisors is an integer number (91943724600).

Almost surely, 2^{11146099514400} is an apocalyptic number.

11146099514400 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 11146099514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19859844513600).

11146099514400 is an abundant number, since it is smaller than the sum of its proper divisors (28573589512800).

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

11146099514400 is a wasteful number, since it uses less digits than its factorization.

11146099514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23609 (or 23593 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11146099514400 in words is "eleven trillion, one hundred forty-six billion, ninety-nine million, five hundred fourteen thousand, four hundred".