10361443968 has 256 divisors, whose sum is σ = 33429888000. Its totient is φ = 3145236480.

The previous prime is 10361443927. The next prime is 10361443973. The reversal of 10361443968 is 86934416301.

It is a super-3 number, since 3×10361443968³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818468 + ... + 1824156.

It is an arithmetic number, because the mean of its divisors is an integer number (130585500).

Almost surely, 2^10361443968 is an apocalyptic number.

10361443968 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 10361443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714944000).

10361443968 is an abundant number, since it is smaller than the sum of its proper divisors (23068444032).

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

10361443968 is a wasteful number, since it uses less digits than its factorization.

10361443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10361443968 in words is "ten billion, three hundred sixty-one million, four hundred forty-three thousand, nine hundred sixty-eight".