1632513132642 has 128 divisors (see below), whose sum is σ = 4078953676800. Its totient is φ = 425314745856.

The previous prime is 1632513132611. The next prime is 1632513132647. The reversal of 1632513132642 is 2462313152361.

It is a self number, because there is not a number n which added to its sum of digits gives 1632513132642.

It is not an unprimeable number, because it can be changed into a prime (1632513132647) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1844278 + ... + 2581934.

It is an arithmetic number, because the mean of its divisors is an integer number (31866825600).

Almost surely, 2^{1632513132642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1632513132642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039476838400).

1632513132642 is an abundant number, since it is smaller than the sum of its proper divisors (2446440544158).

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

1632513132642 is a wasteful number, since it uses less digits than its factorization.

1632513132642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737800.

The product of its digits is 155520, while the sum is 39.

The spelling of 1632513132642 in words is "one trillion, six hundred thirty-two billion, five hundred thirteen million, one hundred thirty-two thousand, six hundred forty-two".