114501054400 has 168 divisors, whose sum is σ = 291647920640. Its totient is φ = 44198784000.

The previous prime is 114501054361. The next prime is 114501054407. The reversal of 114501054400 is 4450105411.

It is a super-2 number, since 2×114501054400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114501054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18795355 + ... + 18801445.

Almost surely, 2^114501054400 is an apocalyptic number.

114501054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114501054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145823960320).

114501054400 is an abundant number, since it is smaller than the sum of its proper divisors (177146866240).

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

114501054400 is a wasteful number, since it uses less digits than its factorization.

114501054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 114501054400 its reverse (4450105411), we get a palindrome (118951159811).

The spelling of 114501054400 in words is "one hundred fourteen billion, five hundred one million, fifty-four thousand, four hundred".