1009748645472 has 192 divisors, whose sum is σ = 3058237292544. Its totient is φ = 285746227200.

The previous prime is 1009748645471. The next prime is 1009748645497. The reversal of 1009748645472 is 2745468479001.

1009748645472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1009748645472² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009748645471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52306222 + ... + 52325522.

It is an arithmetic number, because the mean of its divisors is an integer number (15928319232).

Almost surely, 2^{1009748645472} is an apocalyptic number.

1009748645472 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 1009748645472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529118646272).

1009748645472 is an abundant number, since it is smaller than the sum of its proper divisors (2048488647072).

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

1009748645472 is a wasteful number, since it uses less digits than its factorization.

1009748645472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20061 (or 20053 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 1009748645472 in words is "one trillion, nine billion, seven hundred forty-eight million, six hundred forty-five thousand, four hundred seventy-two".