10334514141 has 64 divisors (see below), whose sum is σ = 18091356160. Its totient is φ = 5707195200.

The previous prime is 10334514137. The next prime is 10334514173. The reversal of 10334514141 is 14141543301.

10334514141 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 514 + 141 = 666.

It is not a de Polignac number, because 10334514141 - 2² = 10334514137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334514341) 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, 1051050 + ... + 1060836.

It is an arithmetic number, because the mean of its divisors is an integer number (282677440).

Almost surely, 2^10334514141 is an apocalyptic number.

It is an amenable number.

10334514141 is a deficient number, since it is larger than the sum of its proper divisors (7756842019).

10334514141 is a wasteful number, since it uses less digits than its factorization.

10334514141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9991 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10334514141 in words is "ten billion, three hundred thirty-four million, five hundred fourteen thousand, one hundred forty-one".