32450225167152 has 480 divisors, whose sum is σ = 103162827156480. Its totient is φ = 9814593484800.

The previous prime is 32450225167133. The next prime is 32450225167201. The reversal of 32450225167152 is 25176152205423.

It is a happy number.

32450225167152 is a `hidden beast` number, since 3 + 2 + 4 + 502 + 25 + 1 + 6 + 71 + 52 = 666.

It is a super-2 number, since 2×32450225167152² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32450225167098 and 32450225167107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906387652 + ... + 906423452.

It is an arithmetic number, because the mean of its divisors is an integer number (214922556576).

Almost surely, 2^{32450225167152} 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 32450225167152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51581413578240).

32450225167152 is an abundant number, since it is smaller than the sum of its proper divisors (70712601989328).

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

32450225167152 is a wasteful number, since it uses less digits than its factorization.

32450225167152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36143 (or 36125 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 32450225167152 in words is "thirty-two trillion, four hundred fifty billion, two hundred twenty-five million, one hundred sixty-seven thousand, one hundred fifty-two".