102461005728001 has 8 divisors (see below), whose sum is σ = 103108371559424. Its totient is φ = 101815476396480.

The previous prime is 102461005727939. The next prime is 102461005728007. The reversal of 102461005728001 is 100827500164201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102461005728001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102461005728007) 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, 459013041 + ... + 459236206.

It is an arithmetic number, because the mean of its divisors is an integer number (12888546444928).

Almost surely, 2^{102461005728001} is an apocalyptic number.

It is an amenable number.

102461005728001 is a deficient number, since it is larger than the sum of its proper divisors (647365831423).

102461005728001 is an equidigital number, since it uses as much as digits as its factorization.

102461005728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918249951.

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 102461005728001 in words is "one hundred two trillion, four hundred sixty-one billion, five million, seven hundred twenty-eight thousand, one".