1456148248240 has 160 divisors (see below), whose sum is σ = 4005707904000. Its totient is φ = 481662741504.

The previous prime is 1456148248237. The next prime is 1456148248259. The reversal of 1456148248240 is 428428416541.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21386571 + ... + 21454549.

It is an arithmetic number, because the mean of its divisors is an integer number (25035674400).

Almost surely, 2^{1456148248240} is an apocalyptic number.

1456148248240 is a gapful number since it is divisible by the number (10) 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 1456148248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002853952000).

1456148248240 is an abundant number, since it is smaller than the sum of its proper divisors (2549559655760).

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

1456148248240 is a wasteful number, since it uses less digits than its factorization.

1456148248240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69347 (or 69341 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 49.

The spelling of 1456148248240 in words is "one trillion, four hundred fifty-six billion, one hundred forty-eight million, two hundred forty-eight thousand, two hundred forty".