1010045649888 has 768 divisors, whose sum is σ = 3434180198400. Its totient is φ = 285804288000.

The previous prime is 1010045649887. The next prime is 1010045649901. The reversal of 1010045649888 is 8889465400101.

It is a happy number.

1010045649888 is a `hidden beast` number, since 1 + 0 + 100 + 45 + 6 + 498 + 8 + 8 = 666.

1010045649888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010045649887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2813497453 + ... + 2813497811.

It is an arithmetic number, because the mean of its divisors is an integer number (4471588800).

Almost surely, 2^{1010045649888} is an apocalyptic number.

1010045649888 is a gapful number since it is divisible by the number (18) 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 1010045649888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717090099200).

1010045649888 is an abundant number, since it is smaller than the sum of its proper divisors (2424134548512).

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

1010045649888 is a wasteful number, since it uses less digits than its factorization.

1010045649888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1010045649888 in words is "one trillion, ten billion, forty-five million, six hundred forty-nine thousand, eight hundred eighty-eight".