11145297254400 has 1008 divisors, whose sum is σ = 42447780746280. Its totient is φ = 2899191398400.

The previous prime is 11145297254383. The next prime is 11145297254401. The reversal of 11145297254400 is 445279254111.

It is a happy number.

11145297254400 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 529 + 72 + 54 + 4 + 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 not an unprimeable number, because it can be changed into a prime (11145297254401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1530313159 + ... + 1530320441.

Almost surely, 2^{11145297254400} is an apocalyptic number.

11145297254400 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 11145297254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223890373140).

11145297254400 is an abundant number, since it is smaller than the sum of its proper divisors (31302483491880).

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

11145297254400 is an frugal number, since it uses more digits than its factorization.

11145297254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11145297254400 in words is "eleven trillion, one hundred forty-five billion, two hundred ninety-seven million, two hundred fifty-four thousand, four hundred".