84993357945601 has 16 divisors (see below), whose sum is σ = 98238965920128. Its totient is φ = 72025762608000.

The previous prime is 84993357945557. The next prime is 84993357945667. The reversal of 84993357945601 is 10654975339948.

It is a cyclic number.

It is not a de Polignac number, because 84993357945601 - 2¹¹ = 84993357943553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84993357945101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86499100 + ... + 87476173.

It is an arithmetic number, because the mean of its divisors is an integer number (6139935370008).

Almost surely, 2^{84993357945601} is an apocalyptic number.

It is an amenable number.

84993357945601 is a deficient number, since it is larger than the sum of its proper divisors (13245607974527).

84993357945601 is a wasteful number, since it uses less digits than its factorization.

84993357945601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173976072.

The product of its (nonzero) digits is 881798400, while the sum is 73.

The spelling of 84993357945601 in words is "eighty-four trillion, nine hundred ninety-three billion, three hundred fifty-seven million, nine hundred forty-five thousand, six hundred one".