115458424544001 has 48 divisors (see below), whose sum is σ = 201660103139328. Its totient is φ = 58043615162400.

The previous prime is 115458424543997. The next prime is 115458424544147. The reversal of 115458424544001 is 100445424854511.

It is a happy number.

It is not a de Polignac number, because 115458424544001 - 2² = 115458424543997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115458424544201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151608905 + ... + 1151709158.

It is an arithmetic number, because the mean of its divisors is an integer number (4201252148736).

Almost surely, 2^{115458424544001} is an apocalyptic number.

115458424544001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115458424544001 is a deficient number, since it is larger than the sum of its proper divisors (86201678595327).

115458424544001 is a wasteful number, since it uses less digits than its factorization.

115458424544001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303318122 (or 2303318115 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 48.

The spelling of 115458424544001 in words is "one hundred fifteen trillion, four hundred fifty-eight billion, four hundred twenty-four million, five hundred forty-four thousand, one".