1460335601152 has 160 divisors (see below), whose sum is σ = 3077656445952. Its totient is φ = 690882576384.

The previous prime is 1460335601143. The next prime is 1460335601159. The reversal of 1460335601152 is 2511065330641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460335601159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100478313 + ... + 1100479639.

Almost surely, 2^{1460335601152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1460335601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538828222976).

1460335601152 is an abundant number, since it is smaller than the sum of its proper divisors (1617320844800).

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

1460335601152 is a wasteful number, since it uses less digits than its factorization.

1460335601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 1460335601152 in words is "one trillion, four hundred sixty billion, three hundred thirty-five million, six hundred one thousand, one hundred fifty-two".