10716561141 has 64 divisors (see below), whose sum is σ = 17000202240. Its totient is φ = 5968881600.

The previous prime is 10716561131. The next prime is 10716561157. The reversal of 10716561141 is 14116561701.

It is a happy number.

It is not a de Polignac number, because 10716561141 - 2⁵ = 10716561109 is a prime.

It is a super-2 number, since 2×10716561141² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10716561131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22372540 + ... + 22373018.

It is an arithmetic number, because the mean of its divisors is an integer number (265628160).

Almost surely, 2^10716561141 is an apocalyptic number.

10716561141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10716561141 is a deficient number, since it is larger than the sum of its proper divisors (6283641099).

10716561141 is a wasteful number, since it uses less digits than its factorization.

10716561141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 10716561141 in words is "ten billion, seven hundred sixteen million, five hundred sixty-one thousand, one hundred forty-one".