1464916342032 has 320 divisors, whose sum is σ = 5099326955520. Its totient is φ = 396548006400.

The previous prime is 1464916341997. The next prime is 1464916342081. The reversal of 1464916342032 is 2302436194641.

1464916342032 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 9 + 1 + 634 + 2 + 0 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1532583 + ... + 2297529.

It is an arithmetic number, because the mean of its divisors is an integer number (15935396736).

Almost surely, 2^{1464916342032} is an apocalyptic number.

1464916342032 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 1464916342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549663477760).

1464916342032 is an abundant number, since it is smaller than the sum of its proper divisors (3634410613488).

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

1464916342032 is a wasteful number, since it uses less digits than its factorization.

1464916342032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765019 (or 765007 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1464916342032 in words is "one trillion, four hundred sixty-four billion, nine hundred sixteen million, three hundred forty-two thousand, thirty-two".