32142242448 has 150 divisors (see below), whose sum is σ = 98824318626. Its totient is φ = 10083723264.

The previous prime is 32142242417. The next prime is 32142242467. The reversal of 32142242448 is 84424224123.

32142242448 is a `hidden beast` number, since 32 + 142 + 2 + 42 + 448 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12510869904 + 19631372544 = 111852^2 + 140112^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 331636 + ... + 417452.

Almost surely, 2^32142242448 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 32142242448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49412159313).

32142242448 is an abundant number, since it is smaller than the sum of its proper divisors (66682076178).

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

32142242448 is a wasteful number, since it uses less digits than its factorization.

32142242448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85871 (or 85839 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 32142242448 in words is "thirty-two billion, one hundred forty-two million, two hundred forty-two thousand, four hundred forty-eight".