1456033030452 has 384 divisors, whose sum is σ = 5080320000000. Its totient is φ = 348277708800.

The previous prime is 1456033030427. The next prime is 1456033030469. The reversal of 1456033030452 is 2540303306541.

1456033030452 is a `hidden beast` number, since 1 + 4 + 5 + 603 + 3 + 0 + 3 + 0 + 45 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46578924 + ... + 46610172.

It is an arithmetic number, because the mean of its divisors is an integer number (13230000000).

Almost surely, 2^{1456033030452} is an apocalyptic number.

1456033030452 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 1456033030452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160000000).

1456033030452 is an abundant number, since it is smaller than the sum of its proper divisors (3624286969548).

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

1456033030452 is a wasteful number, since it uses less digits than its factorization.

1456033030452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31724 (or 31716 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 1456033030452 its reverse (2540303306541), we get a palindrome (3996336336993).

The spelling of 1456033030452 in words is "one trillion, four hundred fifty-six billion, thirty-three million, thirty thousand, four hundred fifty-two".