82633229952001 has 8 divisors (see below), whose sum is σ = 83765393595680. Its totient is φ = 81501071756832.

The previous prime is 82633229951983. The next prime is 82633229952023. The reversal of 82633229952001 is 10025992233628.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82633229952001 - 2⁴¹ = 80434206696449 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82633229952001.

It is not an unprimeable number, because it can be changed into a prime (82633229952071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36240730 + ... + 38453308.

It is an arithmetic number, because the mean of its divisors is an integer number (10470674199460).

Almost surely, 2^{82633229952001} is an apocalyptic number.

It is an amenable number.

82633229952001 is a deficient number, since it is larger than the sum of its proper divisors (1132163643679).

82633229952001 is a wasteful number, since it uses less digits than its factorization.

82633229952001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724255.

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 82633229952001 in words is "eighty-two trillion, six hundred thirty-three billion, two hundred twenty-nine million, nine hundred fifty-two thousand, one".