1146284201664 has 448 divisors, whose sum is σ = 4136745600000. Its totient is φ = 310269367296.

The previous prime is 1146284201653. The next prime is 1146284201677. The reversal of 1146284201664 is 4661024826411.

1146284201664 is a `hidden beast` number, since 1 + 1 + 4 + 62 + 8 + 420 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 11210482 + ... + 11312270.

Almost surely, 2^{1146284201664} is an apocalyptic number.

1146284201664 is a gapful number since it is divisible by the number (14) 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 1146284201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068372800000).

1146284201664 is an abundant number, since it is smaller than the sum of its proper divisors (2990461398336).

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

1146284201664 is a wasteful number, since it uses less digits than its factorization.

1146284201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101850 (or 101820 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1146284201664 in words is "one trillion, one hundred forty-six billion, two hundred eighty-four million, two hundred one thousand, six hundred sixty-four".