114511242400002 has 128 divisors (see below), whose sum is σ = 297017367552000. Its totient is φ = 32020576777728.

The previous prime is 114511242399959. The next prime is 114511242400007. The reversal of 114511242400002 is 200004242115411.

114511242400002 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 11 + 242 + 400 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×114511242400002² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114511242400007) 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, 1256952249 + ... + 1257043347.

It is an arithmetic number, because the mean of its divisors is an integer number (2320448184000).

Almost surely, 2^{114511242400002} is an apocalyptic number.

114511242400002 is an abundant number, since it is smaller than the sum of its proper divisors (182506125151998).

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

114511242400002 is a wasteful number, since it uses less digits than its factorization.

114511242400002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161917 (or 161911 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114511242400002 its reverse (200004242115411), we get a palindrome (314515484515413).

The spelling of 114511242400002 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred forty-two million, four hundred thousand, two".