82374517367801 has 16 divisors (see below), whose sum is σ = 83555803161600. Its totient is φ = 81196808097600.

The previous prime is 82374517367777. The next prime is 82374517367809. The reversal of 82374517367801 is 10876371547328.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82374517367801 is a prime.

It is a super-2 number, since 2×82374517367801² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82374517367809) 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, 114492455 + ... + 115209683.

It is an arithmetic number, because the mean of its divisors is an integer number (5222237697600).

Almost surely, 2^{82374517367801} is an apocalyptic number.

It is an amenable number.

82374517367801 is a deficient number, since it is larger than the sum of its proper divisors (1181285793799).

82374517367801 is a wasteful number, since it uses less digits than its factorization.

82374517367801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719720.

The product of its (nonzero) digits is 47416320, while the sum is 62.

The spelling of 82374517367801 in words is "eighty-two trillion, three hundred seventy-four billion, five hundred seventeen million, three hundred sixty-seven thousand, eight hundred one".