1458342055152 has 240 divisors, whose sum is σ = 4347329744160. Its totient is φ = 455066615808.

The previous prime is 1458342055151. The next prime is 1458342055189. The reversal of 1458342055152 is 2515502438541.

1458342055152 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 3 + 42 + 0 + 551 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1458342055098 and 1458342055107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1458342055151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104182618 + ... + 104196614.

It is an arithmetic number, because the mean of its divisors is an integer number (18113873934).

Almost surely, 2^{1458342055152} is an apocalyptic number.

1458342055152 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 1458342055152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173664872080).

1458342055152 is an abundant number, since it is smaller than the sum of its proper divisors (2888987689008).

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

1458342055152 is a wasteful number, since it uses less digits than its factorization.

1458342055152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14480 (or 14471 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 1458342055152 in words is "one trillion, four hundred fifty-eight billion, three hundred forty-two million, fifty-five thousand, one hundred fifty-two".