1456148160 has 84 divisors (see below), whose sum is σ = 5008552848. Its totient is φ = 388305408.

The previous prime is 1456148149. The next prime is 1456148167. The reversal of 1456148160 is 618416541.

1456148160 is a `hidden beast` number, since 1 + 456 + 1 + 48 + 160 = 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 (1456148167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249924 + ... + 255683.

Almost surely, 2^1456148160 is an apocalyptic number.

1456148160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456148160 is an abundant number, since it is smaller than the sum of its proper divisors (3552404688).

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

1456148160 is a wasteful number, since it uses less digits than its factorization.

1456148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505630 (or 505617 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1456148160 is about 38159.5094308090. The cubic root of 1456148160 is about 1133.4486649259.

The spelling of 1456148160 in words is "one billion, four hundred fifty-six million, one hundred forty-eight thousand, one hundred sixty".