11245011456000 has 832 divisors, whose sum is σ = 42848077708800. Its totient is φ = 2565262540800.

The previous prime is 11245011455999. The next prime is 11245011456011. The reversal of 11245011456000 is 65411054211.

It is a super-3 number, since 3×11245011456000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10719743476 + ... + 10719744524.

It is an arithmetic number, because the mean of its divisors is an integer number (51500093400).

Almost surely, 2^{11245011456000} is an apocalyptic number.

11245011456000 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 11245011456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21424038854400).

11245011456000 is an abundant number, since it is smaller than the sum of its proper divisors (31603066252800).

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

11245011456000 is an equidigital number, since it uses as much as digits as its factorization.

11245011456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 11245011456000 in words is "eleven trillion, two hundred forty-five billion, eleven million, four hundred fifty-six thousand".