11141305074900 has 3456 divisors, whose sum is σ = 51119608135680. Its totient is φ = 2018525184000.

The previous prime is 11141305074899. The next prime is 11141305074901. The reversal of 11141305074900 is 947050314111.

11141305074900 is a `hidden beast` number, since 1 + 1 + 14 + 130 + 507 + 4 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11141305074899) and next prime (11141305074901).

It is a super-2 number, since 2×11141305074900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141305074901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 57726969204 + ... + 57726969396.

It is an arithmetic number, because the mean of its divisors is an integer number (14791553280).

Almost surely, 2^{11141305074900} is an apocalyptic number.

11141305074900 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 11141305074900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25559804067840).

11141305074900 is an abundant number, since it is smaller than the sum of its proper divisors (39978303060780).

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

11141305074900 is a wasteful number, since it uses less digits than its factorization.

11141305074900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11141305074900 in words is "eleven trillion, one hundred forty-one billion, three hundred five million, seventy-four thousand, nine hundred".