10714735561344 has 256 divisors, whose sum is σ = 30493817902080. Its totient is φ = 3321624379392.

The previous prime is 10714735561297. The next prime is 10714735561367. The reversal of 10714735561344 is 44316553741701.

It is a super-3 number, since 3×10714735561344³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 313986267 + ... + 314020389.

It is an arithmetic number, because the mean of its divisors is an integer number (119116476180).

Almost surely, 2^{10714735561344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10714735561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15246908951040).

10714735561344 is an abundant number, since it is smaller than the sum of its proper divisors (19779082340736).

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

10714735561344 is a wasteful number, since it uses less digits than its factorization.

10714735561344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34727 (or 34715 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 10714735561344 in words is "ten trillion, seven hundred fourteen billion, seven hundred thirty-five million, five hundred sixty-one thousand, three hundred forty-four".