114652311400 has 192 divisors, whose sum is σ = 295735536000. Its totient is φ = 40990080000.

The previous prime is 114652311341. The next prime is 114652311409. The reversal of 114652311400 is 4113256411.

It is not an unprimeable number, because it can be changed into a prime (114652311409) 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, 33106069 + ... + 33109531.

It is an arithmetic number, because the mean of its divisors is an integer number (1540289250).

Almost surely, 2^114652311400 is an apocalyptic number.

114652311400 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 114652311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147867768000).

114652311400 is an abundant number, since it is smaller than the sum of its proper divisors (181083224600).

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

114652311400 is a wasteful number, since it uses less digits than its factorization.

114652311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 114652311400 its reverse (4113256411), we get a palindrome (118765567811).

The spelling of 114652311400 in words is "one hundred fourteen billion, six hundred fifty-two million, three hundred eleven thousand, four hundred".