32014256512 has 128 divisors (see below), whose sum is σ = 77276897280. Its totient is φ = 12918528000.

The previous prime is 32014256501. The next prime is 32014256557. The reversal of 32014256512 is 21565241023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×32014256512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 1012137 + ... + 1043287.

It is an arithmetic number, because the mean of its divisors is an integer number (603725760).

Almost surely, 2^32014256512 is an apocalyptic number.

32014256512 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 32014256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38638448640).

32014256512 is an abundant number, since it is smaller than the sum of its proper divisors (45262640768).

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

32014256512 is a wasteful number, since it uses less digits than its factorization.

32014256512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31240 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 32014256512 its reverse (21565241023), we get a palindrome (53579497535).

The spelling of 32014256512 in words is "thirty-two billion, fourteen million, two hundred fifty-six thousand, five hundred twelve".