114005302400544 has 24 divisors (see below), whose sum is σ = 299263918801680. Its totient is φ = 38001767466816.

The previous prime is 114005302400537. The next prime is 114005302400567. The reversal of 114005302400544 is 445004203500411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×114005302400544² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 593777616574 + ... + 593777616765.

It is an arithmetic number, because the mean of its divisors is an integer number (12469329950070).

Almost surely, 2^{114005302400544} is an apocalyptic number.

It is an amenable number.

114005302400544 is an abundant number, since it is smaller than the sum of its proper divisors (185258616401136).

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

114005302400544 is a wasteful number, since it uses less digits than its factorization.

114005302400544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187555233352 (or 1187555233344 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 114005302400544 its reverse (445004203500411), we get a palindrome (559009505900955).

The spelling of 114005302400544 in words is "one hundred fourteen trillion, five billion, three hundred two million, four hundred thousand, five hundred forty-four".