32290023426144 has 96 divisors (see below), whose sum is σ = 92881535652864. Its totient is φ = 9740977236480.

The previous prime is 32290023426119. The next prime is 32290023426151. The reversal of 32290023426144 is 44162432009223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×32290023426144³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 32290023426096 and 32290023426105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68324319 + ... + 68795294.

It is an arithmetic number, because the mean of its divisors is an integer number (967515996384).

Almost surely, 2^{32290023426144} is an apocalyptic number.

It is an amenable number.

32290023426144 is an abundant number, since it is smaller than the sum of its proper divisors (60591512226720).

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

32290023426144 is a wasteful number, since it uses less digits than its factorization.

32290023426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137119860 (or 137119852 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 32290023426144 in words is "thirty-two trillion, two hundred ninety billion, twenty-three million, four hundred twenty-six thousand, one hundred forty-four".