10117197737248 has 192 divisors, whose sum is σ = 23103588372480. Its totient is φ = 4271778173952.

The previous prime is 10117197737221. The next prime is 10117197737249. The reversal of 10117197737248 is 84273779171101.

10117197737248 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 2×10117197737248² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10117197737192 and 10117197737201.

It is not an unprimeable number, because it can be changed into a prime (10117197737249) 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, 3485082165 + ... + 3485085067.

It is an arithmetic number, because the mean of its divisors is an integer number (120331189440).

Almost surely, 2^{10117197737248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117197737248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551794186240).

10117197737248 is an abundant number, since it is smaller than the sum of its proper divisors (12986390635232).

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

10117197737248 is a wasteful number, since it uses less digits than its factorization.

10117197737248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 58.

The spelling of 10117197737248 in words is "ten trillion, one hundred seventeen billion, one hundred ninety-seven million, seven hundred thirty-seven thousand, two hundred forty-eight".