32499788473152 has 2688 divisors, whose sum is σ = 134258510776320. Its totient is φ = 7575680286720.

The previous prime is 32499788473151. The next prime is 32499788473171. The reversal of 32499788473152 is 25137488799423.

32499788473152 is a `hidden beast` number, since 3 + 2 + 499 + 7 + 8 + 84 + 7 + 3 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32499788473151) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73362953443 + ... + 73362953885.

It is an arithmetic number, because the mean of its divisors is an integer number (49947362640).

Almost surely, 2^{32499788473152} is an apocalyptic number.

32499788473152 is a gapful number since it is divisible by the number (32) 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 32499788473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67129255388160).

32499788473152 is an abundant number, since it is smaller than the sum of its proper divisors (101758722303168).

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

32499788473152 is a wasteful number, since it uses less digits than its factorization.

32499788473152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 635 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 32499788473152 in words is "thirty-two trillion, four hundred ninety-nine billion, seven hundred eighty-eight million, four hundred seventy-three thousand, one hundred fifty-two".