1456148736 has 432 divisors, whose sum is σ = 5234471424. Its totient is φ = 379846656.

The previous prime is 1456148723. The next prime is 1456148737. The reversal of 1456148736 is 6378416541.

1456148736 is a `hidden beast` number, since 1 + 4 + 561 + 4 + 87 + 3 + 6 = 666.

Its product of digits (483840) is a multiple of the sum of its prime divisors (189).

It is a junction number, because it is equal to n+sod(n) for n = 1456148691 and 1456148700.

It is not an unprimeable number, because it can be changed into a prime (1456148737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12886216 + ... + 12886328.

It is an arithmetic number, because the mean of its divisors is an integer number (12116832).

Almost surely, 2^1456148736 is an apocalyptic number.

1456148736 is a gapful number since it is divisible by the number (16) 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 1456148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617235712).

1456148736 is an abundant number, since it is smaller than the sum of its proper divisors (3778322688).

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

1456148736 is a wasteful number, since it uses less digits than its factorization.

1456148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1456148736 is about 38159.5169780751. The cubic root of 1456148736 is about 1133.4488143764.

The spelling of 1456148736 in words is "one billion, four hundred fifty-six million, one hundred forty-eight thousand, seven hundred thirty-six".