10236948480 has 936 divisors, whose sum is σ = 42826610736. Its totient is φ = 2335703040.

The previous prime is 10236948461. The next prime is 10236948481. The reversal of 10236948480 is 8484963201.

It is a happy number.

10236948480 is a `hidden beast` number, since 10 + 23 + 69 + 484 + 80 = 666.

It is a super-2 number, since 2×10236948480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10236948481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 602173432 + ... + 602173448.

It is an arithmetic number, because the mean of its divisors is an integer number (45754926).

Almost surely, 2^10236948480 is an apocalyptic number.

10236948480 is a gapful number since it is divisible by the number (10) 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 10236948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413305368).

10236948480 is an abundant number, since it is smaller than the sum of its proper divisors (32589662256).

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

10236948480 is an equidigital number, since it uses as much as digits as its factorization.

10236948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10236948480 in words is "ten billion, two hundred thirty-six million, nine hundred forty-eight thousand, four hundred eighty".