32106484916352 has 480 divisors, whose sum is σ = 121252509314640. Its totient is φ = 8339345280000.

The previous prime is 32106484916351. The next prime is 32106484916353. The reversal of 32106484916352 is 25361948460123.

It is a happy number.

32106484916352 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 6 + 48 + 491 + 63 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (32106484916351) and next prime (32106484916353).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32106484916351) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2715727 + ... + 8460977.

Almost surely, 2^{32106484916352} is an apocalyptic number.

32106484916352 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 32106484916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60626254657320).

32106484916352 is an abundant number, since it is smaller than the sum of its proper divisors (89146024398288).

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

32106484916352 is a wasteful number, since it uses less digits than its factorization.

32106484916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745302 (or 5745274 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 32106484916352 in words is "thirty-two trillion, one hundred six billion, four hundred eighty-four million, nine hundred sixteen thousand, three hundred fifty-two".