11149069068000 has 960 divisors, whose sum is σ = 41972647324608. Its totient is φ = 2897001676800.

The previous prime is 11149069067921. The next prime is 11149069068019. The reversal of 11149069068000 is 86096094111.

11149069068000 is a `hidden beast` number, since 1 + 11 + 490 + 6 + 90 + 68 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8596043352 + ... + 8596044648.

Almost surely, 2^{11149069068000} is an apocalyptic number.

11149069068000 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 11149069068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20986323662304).

11149069068000 is an abundant number, since it is smaller than the sum of its proper divisors (30823578256608).

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

11149069068000 is a wasteful number, since it uses less digits than its factorization.

11149069068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11149069068000 in words is "eleven trillion, one hundred forty-nine billion, sixty-nine million, sixty-eight thousand".