10901349283968 has 1024 divisors, whose sum is σ = 40157187840000. Its totient is φ = 2862065664000.

The previous prime is 10901349283943. The next prime is 10901349284009. The reversal of 10901349283968 is 86938294310901.

10901349283968 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 1 + 3 + 492 + 83 + 9 + 68 = 666.

It is a super-2 number, since 2×10901349283968² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1023499443 + ... + 1023510093.

It is an arithmetic number, because the mean of its divisors is an integer number (39216003750).

Almost surely, 2^{10901349283968} is an apocalyptic number.

10901349283968 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 10901349283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20078593920000).

10901349283968 is an abundant number, since it is smaller than the sum of its proper divisors (29255838556032).

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

10901349283968 is a wasteful number, since it uses less digits than its factorization.

10901349283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 10901349283968 in words is "ten trillion, nine hundred one billion, three hundred forty-nine million, two hundred eighty-three thousand, nine hundred sixty-eight".