10497973248 has 616 divisors, whose sum is σ = 37587832800. Its totient is φ = 2926264320.

The previous prime is 10497973243. The next prime is 10497973261. The reversal of 10497973248 is 84237979401.

It is a super-2 number, since 2×10497973248² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10497973194 and 10497973203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497973243) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 256048108 + ... + 256048148.

Almost surely, 2^10497973248 is an apocalyptic number.

10497973248 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 10497973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18793916400).

10497973248 is an abundant number, since it is smaller than the sum of its proper divisors (27089859552).

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

10497973248 is an frugal number, since it uses more digits than its factorization.

10497973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10497973248 in words is "ten billion, four hundred ninety-seven million, nine hundred seventy-three thousand, two hundred forty-eight".