83629746001 has 8 divisors (see below), whose sum is σ = 88054535520. Its totient is φ = 79207278912.

The previous prime is 83629745951. The next prime is 83629746019. The reversal of 83629746001 is 10064792638.

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 83629746001 - 2²⁷ = 83495528273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83629746041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 506440 + ... + 650953.

It is an arithmetic number, because the mean of its divisors is an integer number (11006816940).

Almost surely, 2^83629746001 is an apocalyptic number.

It is an amenable number.

83629746001 is a deficient number, since it is larger than the sum of its proper divisors (4424789519).

83629746001 is a wasteful number, since it uses less digits than its factorization.

83629746001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161215.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 83629746001 in words is "eighty-three billion, six hundred twenty-nine million, seven hundred forty-six thousand, one".