9247145791744 has 243 divisors, whose sum is σ = 22677188510277. Its totient is φ = 3751852898304.

The previous prime is 9247145791727. The next prime is 9247145791757. The reversal of 9247145791744 is 4471975417429.

It is a happy number.

The square root of 9247145791744 is 3040912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 623291302144 + 8623854489600 = 789488^2 + 2936640^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6471060022 + ... + 6471061450.

Almost surely, 2^{9247145791744} is an apocalyptic number.

9247145791744 is the 3040912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9247145791744

9247145791744 is an abundant number, since it is smaller than the sum of its proper divisors (13430042718533).

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

9247145791744 is an frugal number, since it uses more digits than its factorization.

9247145791744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 1457 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 64.

Multiplying 9247145791744 by its sum of digits (64), we get a square (591817330671616 = 24327296²).

9247145791744 divided by its sum of digits (64) gives a square (144486652996 = 380114²).

The spelling of 9247145791744 in words is "nine trillion, two hundred forty-seven billion, one hundred forty-five million, seven hundred ninety-one thousand, seven hundred forty-four".