2172337671816 has 384 divisors, whose sum is σ = 7002622368000. Its totient is φ = 622061586432.

The previous prime is 2172337671809. The next prime is 2172337671817. The reversal of 2172337671816 is 6181767332712.

2172337671816 is a `hidden beast` number, since 2 + 1 + 72 + 337 + 67 + 181 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2172337671817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31029940 + ... + 31099868.

It is an arithmetic number, because the mean of its divisors is an integer number (18235995750).

Almost surely, 2^{2172337671816} is an apocalyptic number.

2172337671816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2172337671816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501311184000).

2172337671816 is an abundant number, since it is smaller than the sum of its proper divisors (4830284696184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2172337671816 is a wasteful number, since it uses less digits than its factorization.

2172337671816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70030 (or 70007 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 2172337671816 in words is "two trillion, one hundred seventy-two billion, three hundred thirty-seven million, six hundred seventy-one thousand, eight hundred sixteen".