10144523011552 has 96 divisors (see below), whose sum is σ = 20662783948800. Its totient is φ = 4897580889600.

The previous prime is 10144523011549. The next prime is 10144523011603. The reversal of 10144523011552 is 25511032544101.

It is a super-2 number, since 2×10144523011552² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119823599 + ... + 1119832657.

It is an arithmetic number, because the mean of its divisors is an integer number (215237332800).

Almost surely, 2^{10144523011552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144523011552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331391974400).

10144523011552 is an abundant number, since it is smaller than the sum of its proper divisors (10518260937248).

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

10144523011552 is a wasteful number, since it uses less digits than its factorization.

10144523011552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 10144523011552 its reverse (25511032544101), we get a palindrome (35655555555653).

The spelling of 10144523011552 in words is "ten trillion, one hundred forty-four billion, five hundred twenty-three million, eleven thousand, five hundred fifty-two".