1097772448608 has 288 divisors, whose sum is σ = 3559953825792. Its totient is φ = 317631283200.

The previous prime is 1097772448583. The next prime is 1097772448609. The reversal of 1097772448608 is 8068442777901.

1097772448608 is a `hidden beast` number, since 10 + 9 + 7 + 7 + 7 + 2 + 4 + 4 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1097772448608² (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 (1097772448609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42029473 + ... + 42055583.

It is an arithmetic number, because the mean of its divisors is an integer number (12360950784).

Almost surely, 2^{1097772448608} is an apocalyptic number.

1097772448608 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 1097772448608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779976912896).

1097772448608 is an abundant number, since it is smaller than the sum of its proper divisors (2462181377184).

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

1097772448608 is a wasteful number, since it uses less digits than its factorization.

1097772448608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26738 (or 26727 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 1097772448608 in words is "one trillion, ninety-seven billion, seven hundred seventy-two million, four hundred forty-eight thousand, six hundred eight".