1114460450532 has 288 divisors, whose sum is σ = 3426932396160. Its totient is φ = 300706560000.

The previous prime is 1114460450471. The next prime is 1114460450533. The reversal of 1114460450532 is 2350540644111.

1114460450532 is a `hidden beast` number, since 1 + 1 + 1 + 44 + 604 + 5 + 0 + 5 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1114460450533) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197211907 + ... + 197217557.

It is an arithmetic number, because the mean of its divisors is an integer number (11899070820).

Almost surely, 2^{1114460450532} is an apocalyptic number.

1114460450532 is a gapful number since it is divisible by the number (12) 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 1114460450532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713466198080).

1114460450532 is an abundant number, since it is smaller than the sum of its proper divisors (2312471945628).

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

1114460450532 is a wasteful number, since it uses less digits than its factorization.

1114460450532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1114460450532 in words is "one trillion, one hundred fourteen billion, four hundred sixty million, four hundred fifty thousand, five hundred thirty-two".