32061461415232 has 112 divisors (see below), whose sum is σ = 66535877362320. Its totient is φ = 15308926976000.

The previous prime is 32061461415211. The next prime is 32061461415307. The reversal of 32061461415232 is 23251416416023.

It can be written as a sum of positive squares in 8 ways, for example, as 1608899443776 + 30452561971456 = 1268424^2 + 5518384^2 .

It is a super-2 number, since 2×32061461415232² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183056982 + ... + 183232042.

Almost surely, 2^{32061461415232} is an apocalyptic number.

32061461415232 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 32061461415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33267938681160).

32061461415232 is an abundant number, since it is smaller than the sum of its proper divisors (34474415947088).

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

32061461415232 is a wasteful number, since it uses less digits than its factorization.

32061461415232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176180 (or 176170 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 32061461415232 in words is "thirty-two trillion, sixty-one billion, four hundred sixty-one million, four hundred fifteen thousand, two hundred thirty-two".