1463642212032 has 896 divisors, whose sum is σ = 5850911539200. Its totient is φ = 346448793600.

The previous prime is 1463642212013. The next prime is 1463642212063. The reversal of 1463642212032 is 2302122463641.

1463642212032 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 642 + 2 + 1 + 2 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136643157 + ... + 136653867.

It is an arithmetic number, because the mean of its divisors is an integer number (6530035200).

Almost surely, 2^{1463642212032} is an apocalyptic number.

1463642212032 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 1463642212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925455769600).

1463642212032 is an abundant number, since it is smaller than the sum of its proper divisors (4387269327168).

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

1463642212032 is a wasteful number, since it uses less digits than its factorization.

1463642212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10842 (or 10826 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 1463642212032 its reverse (2302122463641), we get a palindrome (3765764675673).

The spelling of 1463642212032 in words is "one trillion, four hundred sixty-three billion, six hundred forty-two million, two hundred twelve thousand, thirty-two".