10091411100764 has 48 divisors (see below), whose sum is σ = 21370341807360. Its totient is φ = 4070429003520.

The previous prime is 10091411100697. The next prime is 10091411100767. The reversal of 10091411100764 is 46700111419001.

It is a happy number.

It is a super-2 number, since 2×10091411100764² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091411100767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63161099 + ... + 63320669.

It is an arithmetic number, because the mean of its divisors is an integer number (445215454320).

Almost surely, 2^{10091411100764} is an apocalyptic number.

10091411100764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10091411100764 is an abundant number, since it is smaller than the sum of its proper divisors (11278930706596).

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

10091411100764 is a wasteful number, since it uses less digits than its factorization.

10091411100764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292458 (or 292456 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 35.

Adding to 10091411100764 its reverse (46700111419001), we get a palindrome (56791522519765).

The spelling of 10091411100764 in words is "ten trillion, ninety-one billion, four hundred eleven million, one hundred thousand, seven hundred sixty-four".