32426045922816 has 1920 divisors, whose sum is σ = 127192192512000. Its totient is φ = 7939946446848.

The previous prime is 32426045922707. The next prime is 32426045922821. The reversal of 32426045922816 is 61822954062423.

32426045922816 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 604 + 5 + 9 + 2 + 28 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28721032140 + ... + 28721033268.

It is an arithmetic number, because the mean of its divisors is an integer number (66245933600).

Almost surely, 2^{32426045922816} is an apocalyptic number.

32426045922816 is a gapful number since it is divisible by the number (36) 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 32426045922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63596096256000).

32426045922816 is an abundant number, since it is smaller than the sum of its proper divisors (94766146589184).

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

32426045922816 is a wasteful number, since it uses less digits than its factorization.

32426045922816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 32426045922816 in words is "thirty-two trillion, four hundred twenty-six billion, forty-five million, nine hundred twenty-two thousand, eight hundred sixteen".