11434301001144 has 384 divisors, whose sum is σ = 37139591232000. Its totient is φ = 3250010469888.

The previous prime is 11434301001139. The next prime is 11434301001157. The reversal of 11434301001144 is 44110010343411.

11434301001144 is a `hidden beast` number, since 1 + 14 + 3 + 430 + 100 + 114 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1683244212 + ... + 1683251004.

It is an arithmetic number, because the mean of its divisors is an integer number (96717685500).

Almost surely, 2^{11434301001144} is an apocalyptic number.

11434301001144 is a gapful number since it is divisible by the number (14) 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 11434301001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18569795616000).

11434301001144 is an abundant number, since it is smaller than the sum of its proper divisors (25705290230856).

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

11434301001144 is a wasteful number, since it uses less digits than its factorization.

11434301001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11434301001144 its reverse (44110010343411), we get a palindrome (55544311344555).

The spelling of 11434301001144 in words is "eleven trillion, four hundred thirty-four billion, three hundred one million, one thousand, one hundred forty-four".