10948977743814 has 192 divisors, whose sum is σ = 28332429495552. Its totient is φ = 3018063206400.

The previous prime is 10948977743789. The next prime is 10948977743819. The reversal of 10948977743814 is 41834777984901.

It is a happy number.

10948977743814 is a `hidden beast` number, since 1 + 0 + 9 + 489 + 77 + 74 + 3 + 8 + 1 + 4 = 666.

It is a super-2 number, since 2×10948977743814² (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 (10948977743819) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14395909 + ... + 15137375.

It is an arithmetic number, because the mean of its divisors is an integer number (147564736956).

Almost surely, 2^{10948977743814} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10948977743814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166214747776).

10948977743814 is an abundant number, since it is smaller than the sum of its proper divisors (17383451751738).

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

10948977743814 is a wasteful number, since it uses less digits than its factorization.

10948977743814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741651 (or 741648 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 10948977743814 in words is "ten trillion, nine hundred forty-eight billion, nine hundred seventy-seven million, seven hundred forty-three thousand, eight hundred fourteen".