1001145600 has 648 divisors, whose sum is σ = 4428383232. Its totient is φ = 210124800.

The previous prime is 1001145599. The next prime is 1001145601. The reversal of 1001145600 is 65411001.

1001145600 is a `hidden beast` number, since 10 + 0 + 11 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1001145599) and next prime (1001145601).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001145601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241505 + ... + 5241695.

Almost surely, 2^1001145600 is an apocalyptic number.

1001145600 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 1001145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214191616).

1001145600 is an abundant number, since it is smaller than the sum of its proper divisors (3427237632).

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

1001145600 is a wasteful number, since it uses less digits than its factorization.

1001145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1001145600 is about 31640.8849433767. The cubic root of 1001145600 is about 1000.3817209373.

Adding to 1001145600 its reverse (65411001), we get a palindrome (1066556601).

It can be divided in two parts, 10011 and 45600, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 1001145600 in words is "one billion, one million, one hundred forty-five thousand, six hundred".