109514040415901 has 64 divisors (see below), whose sum is σ = 124220484326400. Its totient is φ = 96484867174080.

The previous prime is 109514040415841. The next prime is 109514040415937.

109514040415901 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-109514040415901 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 109514040415901 = 18909³ + 46838³ = 20108³ + 46629³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109514040435901) 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, 18050770070 + ... + 18050776136.

It is an arithmetic number, because the mean of its divisors is an integer number (1940945067600).

Almost surely, 2^{109514040415901} is an apocalyptic number.

109514040415901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

109514040415901 is a deficient number, since it is larger than the sum of its proper divisors (14706443910499).

109514040415901 is a wasteful number, since it uses less digits than its factorization.

109514040415901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 109514040415901 in words is "one hundred nine trillion, five hundred fourteen billion, forty million, four hundred fifteen thousand, nine hundred one".