10218970944 has 672 divisors, whose sum is σ = 39290101760. Its totient is φ = 2463436800.

The previous prime is 10218970921. The next prime is 10218970991. The reversal of 10218970944 is 44907981201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10218970944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10218970944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30872859 + ... + 30873189.

Almost surely, 2^10218970944 is an apocalyptic number.

10218970944 is a gapful number since it is divisible by the number (14) 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 10218970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645050880).

10218970944 is an abundant number, since it is smaller than the sum of its proper divisors (29071130816).

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

10218970944 is a wasteful number, since it uses less digits than its factorization.

10218970944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10218970944 in words is "ten billion, two hundred eighteen million, nine hundred seventy thousand, nine hundred forty-four".