32897376433152 has 1760 divisors, whose sum is σ = 129047701094400. Its totient is φ = 8266696704000.

The previous prime is 32897376433087. The next prime is 32897376433153. The reversal of 32897376433152 is 25133467379823.

It is a happy number.

32897376433152 is a `hidden beast` number, since 3 + 2 + 89 + 7 + 3 + 76 + 433 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 32897376433152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32897376433153) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9701377377 + ... + 9701380767.

It is an arithmetic number, because the mean of its divisors is an integer number (73322557440).

Almost surely, 2^{32897376433152} is an apocalyptic number.

32897376433152 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 32897376433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64523850547200).

32897376433152 is an abundant number, since it is smaller than the sum of its proper divisors (96150324661248).

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

32897376433152 is a wasteful number, since it uses less digits than its factorization.

32897376433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3445 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 32897376433152 in words is "thirty-two trillion, eight hundred ninety-seven billion, three hundred seventy-six million, four hundred thirty-three thousand, one hundred fifty-two".