10145231511552 has 168 divisors, whose sum is σ = 29432487227364. Its totient is φ = 3367224213504.

The previous prime is 10145231511523. The next prime is 10145231511557. The reversal of 10145231511552 is 25511513254101.

10145231511552 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 52 + 3 + 1 + 51 + 1 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9206223998976 + 939007512576 = 3034176^2 + 969024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10145231511557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16883338 + ... + 17473910.

Almost surely, 2^{10145231511552} is an apocalyptic number.

10145231511552 is a gapful number since it is divisible by the number (12) 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 10145231511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716243613682).

10145231511552 is an abundant number, since it is smaller than the sum of its proper divisors (19287255715812).

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

10145231511552 is an equidigital number, since it uses as much as digits as its factorization.

10145231511552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590838 (or 590811 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 10145231511552 its reverse (25511513254101), we get a palindrome (35656744765653).

The spelling of 10145231511552 in words is "ten trillion, one hundred forty-five billion, two hundred thirty-one million, five hundred eleven thousand, five hundred fifty-two".